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-10x^{6}+7x-3x^{5}-x^{6}-\left(7x+5-3x^{5}\right)
Add -10 and 10 to get 0.
-10x^{6}+7x-3x^{5}-x^{6}-7x-5+3x^{5}
To find the opposite of 7x+5-3x^{5}, find the opposite of each term.
-10x^{6}-3x^{5}-x^{6}-5+3x^{5}
Combine 7x and -7x to get 0.
-10x^{6}-x^{6}-5
Combine -3x^{5} and 3x^{5} to get 0.
-11x^{6}-5
Combine -10x^{6} and -x^{6} to get -11x^{6}.
-10x^{6}+7x-3x^{5}-x^{6}-\left(7x+5-3x^{5}\right)
Add -10 and 10 to get 0.
-10x^{6}+7x-3x^{5}-x^{6}-7x-5+3x^{5}
To find the opposite of 7x+5-3x^{5}, find the opposite of each term.
-10x^{6}-3x^{5}-x^{6}-5+3x^{5}
Combine 7x and -7x to get 0.
-10x^{6}-x^{6}-5
Combine -3x^{5} and 3x^{5} to get 0.
-11x^{6}-5
Combine -10x^{6} and -x^{6} to get -11x^{6}.