Closeness to Allah and relating it to good deeds

ٱلسَّلَامُ عَلَيْكُمْ I know that we will go to Jannah if our good deeds outweigh the bad deeds. This is my understanding. However, I can't relate this to the concept of getting close to Allah. I know that one gets closer to Allah as they try to perfect their fara'id, doing the optional actions, staying away from haram and remembering Allah constantly. So does that mean we will go to jannah if we are close to Allah and not depending on good deeds. Because what if a person were to sin all his life and in the end he starts to get close to Allah, there could be a possibility that he has more bad deeds than good, so does that mean he goes to hell? Or is he judged accordingly to how he dies? Or is his past sins forgiven because he is on the path back to Allah? But what about the major sins that he might have done? Also, is the levels of Jannah chosen regarding how close we are to Allah and the good deeds outweighing the bad deeds is just an entry to jannah? Please clarify this, and also please educate me on the meaning of coming near or close to Allah (1), and on the balancing of the scales on judgement day (2) and also on the quote "It's all about the state that you die in" which some people who gives islamic talks say (3) May Allah reward you Brothers.