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5x^{2}-\left(6x^{2}-2x-x^{2}+2x-7\right)
To find the opposite of x^{2}-2x+7, find the opposite of each term.
5x^{2}-\left(5x^{2}-2x+2x-7\right)
Combine 6x^{2} and -x^{2} to get 5x^{2}.
5x^{2}-\left(5x^{2}-7\right)
Combine -2x and 2x to get 0.
5x^{2}-5x^{2}+7
To find the opposite of 5x^{2}-7, find the opposite of each term.
7
Combine 5x^{2} and -5x^{2} to get 0.