One commenter recently puzzled why I would invite pagans to come unto Christ, for he had heard that Mormons think everybody will be saved. OK, we believe that everyone will be resurrected, which is a form of salvation - salvation from physical death. But there is another death we need to be saved from: spiritual death, the death which is a consequence of sin, the death of being cut off from the presence of God and the gift of Eternal Life (not just immortal life, but the unimaginably full and abundant life that can be enjoyed in the presence of God, who shares all that He has with His sons and daughters). When we speak of being "saved," we normally refer to those who have been saved from spiritual and physical death, namely, those who have truly accepted Jesus Christ and the grace that He offers us through a covenant relationship, a "special" salvation that goes far beyond the "universal" salvation of Resurrection. All mankind needs to be saved from our sins and the spiritual death that sin brings, but that "special" salvation will only be offered to those who accept Jesus Christ by having faith in Him, repenting of their sins, entering into the covenant through baptism, and then receiving the gift of the Holy Ghost (Acts 2:37-38; John 3:3-5; Heb. 6:1).
Here are a few relevant passages from the Book of Mormon. From Helaman 5:9:
O remember, remember, my sons, the words which king Benjamin spake unto his people; yea, remember that there is no other way nor means whereby man can be saved, only through the atoning blood of Jesus Christ, who shall come, yea, remember that he cometh to redeem the world.And from Mosiah 3:
 And even if it were possible that little children could sin they could not be saved; but I say unto you they are blessed; for behold, as in Adam, or by nature, they fall, even so the blood of Christ atoneth for their sins.Now the really wonderful news, in addition to the salvation of infants, is the opportunity for all mankind to learn of the Gospel of Jesus Christ and to accept it, if they wish. That's another topic, one that involves the preaching of the Gospel to the dead (1 Peter 3:18-20 and 4:6) and baptism for the dead. But let me just summarize by pointing out that God is consistent and remarkably fair in making salvation possible for all of us. We just need to look to Christ and accept His covenant of grace. And I truly hope that all of you will respond to this infinitely generous invitation from God, your Father in Heaven, who loves us and doesn't desire any of us to be cast out of His presence for our rebellion, but, as we read in 1 Timothy 2:4, "desires all men to be saved and to come to the knowledge of the truth." He has created the way for us to do that, but it is up to us to accept that invitation and "come to the knowledge of the truth" and act upon it (faith, repentance, and baptism).
 And moreover, I say unto you, that there shall be no other name given nor any other way nor means whereby salvation can come unto the children of men, only in and through the name of Christ, the Lord Omnipotent.
 For behold he judgeth, and his judgment is just; and the infant perisheth not that dieth in his infancy; but men drink damnation to their own souls except they humble themselves and become as little children, and believe that salvation was, and is, and is to come, in and through the atoning blood of Christ, the Lord Omnipotent.
 For the natural man is an enemy to God, and has been from the fall of Adam, and will be, forever and ever, unless he yields to the enticings of the Holy Spirit, and putteth off the natural man and becometh a saint through the atonement of Christ the Lord, and becometh as a child, submissive, meek, humble, patient, full of love, willing to submit to all things which the Lord seeth fit to inflict upon him, even as a child doth submit to his father.
 And moreover, I say unto you, that the time shall come when the knowledge of the Savior shall spread throughout every nation, kindred, tongue, and people.
 And behold, when that time cometh, none shall be found blameless before God, except it be little children, only through repentance and faith on the name of the Lord God Omnipotent.