What then is the final answer to sin?
Paul answers that very question in the same book of Romans - chapter 7:24 - 8:2.
“But God commended His love toward us, in that while we were yet sinners, Christ died for us.” (Romans 5:8)
“For by one man’s offence death reigned by one; much more they which receive abundance of grace and of the gift of righteousness shall reign in life by one, Jesus Christ.(Romans 5:17)
“For as by one man’s disobedience many were made sinners, so by the obedience of one many shall be made righteous.” (Romans 5:19)
“For He[God] hath made Him[Jesus] to be sin for us who knew no sin; that we might be made the righteousness of God in Him.” (2 Corinthians 5:21)
The Cross.
Jesus Christ washed away your sin and you are saved into eternity if you believe that he is the Son of God (John 3:16).
That’s it. Nothing else.