The use of would and paid are examples of backshifts, which indicate that this is a hypothetical condition, not a real one. Furthermore, not if you paid me is a well-known idiom meaning under no circumstances.
The bit that makes the meaning clear is an implied even
I wouldn't vote for Clinton even if you paid me.
What it now means is that under any and all circumstances, even if you were to offer me money to do it, I would not vote for Clinton.
I believe this is a vestige of hunting lingo, to ride straight to hounds, hunting being a typical sport of the country squire. It means to ride to the hounds (in a fox hunt) without taking a circuitous path in order to avoid obstacles such as ditches and hedges; riding straight to the action is emblematic of a robust forthrightness of character. It is analogous to being a straight shooter in American English.
Best Answer
In the U.S., examinations are traditionally graded by letter of the alphabet, commonly A-F, with A being the highest pass grade.
A 'Straight A' student is one that has achieved an A Grade across all subjects taken