Jesus came up and spoke to them, saying, “All authority has been given to Me in heaven and on earth. Go therefore and make disciples of all the nations, baptizing them in the name of the Father and the Son and the Holy Spirit, teaching them to observe all that I commanded you. And lo, I am with you all the days till the conclusion of the age.”
Matthew 28:18-20

Those who received Peter's words were baptized, and there were added about three thousand souls on that day.
Acts 2:41

When they believed Phillip bringing the evangel concerning the Kingdom of God and the name of Jesus Christ, they were baptized, both men and women.
Acts 8:12

Peter is saying, “Surely no one can refuse the water for these to be baptized who have received the Holy Spirit just as we did.”
Acts 10:47

Now Crispus, the chief of the synagogue, believes the Lord, together with his whole household. And many of the Corinthians, hearing, believed and were baptized.
Acts 18:8

…not the removal of dirt from the flesh, but an appeal/inquiry to God for a good/clean/clear conscience
I Peter 3:21

B E   W A S H E D

“Do you suppose, dear friends, that the new birth is just like the world says, just a plunging into the water, or a little speech: I baptixe you in the name of the Father, and of the Son, and of the Holy Ghost? No, dear brothers. No! The new birth consists not in water nor in words. The new birth is a heavenly life-giving power, the power of God in our hearts. Power flows from God when the Word is preached. Then when we believe the Word, it quickens, renews, penetrates, and remolds our hearts so that we are changed from unbelief to faith, from sin to righteousness, from evil to good, from carnal to spiritual, from earthly to heavenly, from the nature of Adam to the nature of Christ… Those who go through this change are truly born again. They are regenrated ones to whom Christian baptism is a seal of faith by which they receive remission of sins.”
--Menno Simons

“But concerning baptism, thus shall you baptize. Having first recited all these things, baptize in living [running, moving] water. But if you have not living water, then baptize in other water; and if you are not able in cold, then in warm. But if you have neither, then pour water on the head thrice in the name of the Father and of the Son and of the Holy Spirit. But before the baptism let him that baptizes, and him that is baptized, fast; and any others also who are able; and you shall have him that is baptized to fast a day or two before.”
[Didache 7:1-7]

“For as John taught first repentance and faith, and after that granted baptism and then showed them the way, the truth, and the life, saying: Behold Christ, the Lamb of God, who takes away the sins of the world; so we also must follow in accordance with this truth, and not according to the deceitful arguments of the tradition of others, who baptize the unbelieving, the reasonless, and the unrepentant.”
[Key of Truth 1:18]