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Jesus paid the price for the sins of the whole world, according to scripture; all the sins at the cross were from human perspective in the future but He canceled them for the whole world and all of the creation; to realize He has canceled all your sins allows you to be counted among the righteous knowing ONLY God is 'big enough' to pay such a price, and we are bought with a price, but unless you believe/FAITHE He has done this for you you will not receive the Gift of God in Christ Jesus

That reads like an added requirement, being saved by believing one is saved. That would be erroneous.

And he said unto them, Go ye into all the world, and preach the gospel to every creature.
He that believeth and is baptized shall be saved; but he that believeth not shall be damned.

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But what saith it? The word is nigh thee, even in thy mouth, and in thy heart: that is, the word of faith, which we preach;
That if thou shalt confess with thy mouth the Lord Jesus, and shalt believe in thine heart that God hath raised him from the dead, thou shalt be saved.
For with the heart man believeth unto righteousness; and with the mouth confession is made unto salvation.

Mark, Catholic chapter sixteen, Protestant verses fifteen to sixteen,
Romans, Catholic chapter ten, Protestant verses eight to ten,
as authorized, but not authored, by King James