That may be a calvinist cartoon depending on your a priori perspective, but the problem still lies in how do you get to the point where you are standing in front of the machine? You have to recognize that there is dirt that needs to be cleansed. You have to walk into the laundromat. After that it is indeed all automatic. Somehow, some way, you must take an active step. You have to believe that if you go into that laundromat your clothes will be cleaned. You have to recognize that your clothes are dirty. Nobody walks into the laundromat on their own. The laundromat owner calls them to the door and convinces them that their clothes are dirty and invites them in. If they walk away from the door, then they have no excuse for their situation. If they walk through the door, they will be cleaned.
Again, it is ultimately irrelevant why the person chooses to enter through the door. But enter they must.