Salvation and The Atonement

6 I say unto you, if ye have come to a knowledge of the goodness of God, and his matchless power, and his wisdom, and his patience, and his long-suffering towards the children of men; and also, the atonement which has been prepared from the foundation of the world, that thereby salvation might come to him that should put his trust in the Lord, and should be diligent in keeping his commandments, and continue in the faith even unto the end of his life, I mean the life of the mortal body—
7 I say, that this is the man who receiveth salvation, through the atonement which was prepared from the foundation of the world for all mankind, which ever were since the fall of Adam, or who are, or who ever shall be, even unto the end of the world.
8 And this is the means whereby salvation cometh. And there is none other salvation save this which hath been spoken of; neither are there any conditions whereby man can be saved except the conditions which I have told you.
9 Believe in God; believe that he is, and that he created all things, both in heaven and in earth; believe that he has all wisdom, and all power, both in heaven and in earth; believe that man doth not comprehend all the things which the Lord can comprehend.
10 And again, believe that ye must repent of your sins and forsake them, and humble yourselves before God; and ask in sincerity of heart that he would forgive you; and now, if you believe all these things see that ye do them. (Mosiah 4)

Must Be Washed Clean

20 I say unto you, can ye think of being saved when you have yielded yourselves to become subjects to the devil?
21 I say unto you, ye will know at that day that ye cannot be saved; for there can no man be saved except his garments are washed white; yea, his garments must be purified until they are cleansed from all stain, through the blood of him of whom it has been spoken by our fathers, who should come to redeem his people from their sins. (Alma 5)

No Unclean Thing

37 And I say unto you again that he cannot save them in their sins; for I cannot deny his word, and he hath said that no unclean thing can inherit the kingdom of heaven; therefore, how can ye be saved, except ye inherit the kingdom of heaven? Therefore, ye cannot be saved in your sins. (Alma 11)

13 And now, because ye are compelled to be humble blessed are ye; for a man sometimes, if he is compelled to be humble, seeketh repentance; and now surely, whosoever repenteth shall find mercy; and he that findeth mercy and endureth to the end the same shall be saved. (Alma 32)