When the expression\\([1-1x+2x^2-2+3x-3x^2+4-4x+5x^2\]\)is written in the form \($ax^2 +bx+c$, where $a$, $b$,\) and $c$ are non-zero integers, what is the value of $a + b + c$?

This is just combining like terms. Think about it. if you have a constant, you look for other constants, and then add or subtract as indicated in the problem. You do the same with linears and squares; it's just addition and subtraction.