Answer
$$4x+4
.$$
Work Step by Step
We simplify by removing the parentheses and then add the like terms as follows:
$$
(3x^2 +4x - 5) + (-x^2- 2x+ 2) + (-2x^2 + 2x + 7)\\
=3x^2 +4x - 5 -x^2- 2x+ 2 -2x^2 + 2x + 7\\
=4x+4
.$$
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