Which is the safest side to place a foldable rack-attaching bike basket? I recently received a foldable bike basket which attaches to my back rack as a gift, which I am really excited about - it will make my commute a lot easier. However, I am not sure which side of the bike to attach it to. It seems like putting it on the right side makes sense but when I add groceries or other things to carry it will put the balance out of whack, since the gearing is also on that side. I suppose this is going to happen either way with a single bike basket. Having two would allow me to keep weight and balance even. But with this in mind, should I specifically place the basket on the left side to keep weight more even?
I'm speaking from personal experience here.  Looking at the bicycle from the back.  The drive train is on the right side, and when you use the kickstand it leans to the left.

When I commute to work, I tend to put my messenger bag with rear rack attachments on the left side.  Mostly because the bike is already leaning that way.  Once, when I was getting ready to leave work. I placed the bag on the right, and proceed to begin to tie my pants so they wouldn't get caught in the chain.  The whole bike, bag and all, fell right on top of me.  The incline of that particular part of the parking lot and the weight of the bag were enough to throw the whole bike of balance and rendered the kickstand useless.

Since then, I've always put my bag on the left side.  The idea of my bike falling on the right side and bending or breaking a derailleur just freaks me out since I've yet to learn how to fix them or adjust them.