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10x^{2}-6x+1-\left(x+7-8x^{2}\right)
Combine 5x and -4x to get x.
10x^{2}-6x+1-x-7+8x^{2}
To find the opposite of x+7-8x^{2}, find the opposite of each term.
10x^{2}-7x+1-7+8x^{2}
Combine -6x and -x to get -7x.
10x^{2}-7x-6+8x^{2}
Subtract 7 from 1 to get -6.
18x^{2}-7x-6
Combine 10x^{2} and 8x^{2} to get 18x^{2}.
10x^{2}-6x+1-\left(x+7-8x^{2}\right)
Combine 5x and -4x to get x.
10x^{2}-6x+1-x-7+8x^{2}
To find the opposite of x+7-8x^{2}, find the opposite of each term.
10x^{2}-7x+1-7+8x^{2}
Combine -6x and -x to get -7x.
10x^{2}-7x-6+8x^{2}
Subtract 7 from 1 to get -6.
18x^{2}-7x-6
Combine 10x^{2} and 8x^{2} to get 18x^{2}.