Come as you are meaning don't try to give up your sin bring it with you to christ! Praise Jesus
Yes, to repent, in passages having to do with salvation, generally means to change your mind from disbelieving to believing. Getting saved isn't about trying to quit drinking and cussing and smoking. It is about changing your mind and turning from unbelief to belief. It means to stop thinking that your attempts at morality will save you and to start trusting Jesus to save you instead. Nothing is needed for justification except faith. Romans 4:5 says "to the one who does not work but believes in Him who justifies the ungodly, his faith is accounted as righteousness."
There is a key phrase that Christians would do well to remember. It is this
but not for justification
It applies to everything except faith in Jesus. For instance, to the statement baptism is necessary the answer should be
but not for justification.
To the statement
joining the church is a good thing. The answer should be
yes, it is. But not for justification.
Good works are needed. But not for justification!
Repentance of various sins are needed. But not for justification!
Making a public profession of faith is expected. But not for justification!
Prayer is needed. But not for justification!
Promising to follow Jesus faithfully is necessary. But not for justification!
The only thing that is needed for justification is FAITH IN JESUS FOR SALVATION.
To have faith in Jesus means
A. to Believe that He is the Lord God.
B. to believe that even though we are sinners, He obtained our salvation by His death for sin, and that He rose again.
C. to believe that I personally now have eternal life and am saved because of the sacrifice of Jesus, apart from all my works.
D. to believe that Jesus will keep me secure and cannot fail to bring me to heaven.
Believing these things are also called trust. Faith is trusting Jesus to cover my sins with His blood and bring me safely to heaven. We are not trusting Jesus for salvation if we believe that we have to do anything whatsoever for justification and eternal life other than believing and trusting in Him to save us.