I was raised Catholic, so I had to do the whole Confession thing. I married a Protestant, who was taught that you live your life the best you can, and as long as you accept Jesus and make an effort to please him, you'll be saved because your sins were paid for IN FULL with his sacrifice, and to believe any less than that is to not give full credit to his sacrifice.
Some of these posts seem to have exclusionary clauses to 'your sins are forgiven.'
"Going therefore, teach ye all nations; baptizing them in the name of the Father, and of the Son, and of the Holy Ghost. Teaching them to observe all things whatsoever I have commanded you: and behold I am with you all days, even to the consummation of the world." - Matthew 28:19-20
The Catholic would not use the term, but for the sake of discussing it with someone who does, I as a Catholic would understand it to mean observing all He has commanded. What do you mean by "accepting Jesus"?