Answer
$-2x^{2}-2x+5$
Work Step by Step
Grouping like terms together and then adding/subtracting them together, we obtain:
$(-7x^{2}+6x-2)+(5x^{2}-8x+7)$
=$(-7x^{2}+5x^{2})+(6x-8x)+(-2+7)$
=$(-2x^{2})+(-2x)+(5)$
=$-2x^{2}-2x+5$
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