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6x^{3}+x-7x^{2}-3x+6x^{2}-6x^{3}
To find the opposite of 3x-6x^{2}+6x^{3}, find the opposite of each term.
6x^{3}-2x-7x^{2}+6x^{2}-6x^{3}
Combine x and -3x to get -2x.
6x^{3}-2x-x^{2}-6x^{3}
Combine -7x^{2} and 6x^{2} to get -x^{2}.
-2x-x^{2}
Combine 6x^{3} and -6x^{3} to get 0.
6x^{3}+x-7x^{2}-3x+6x^{2}-6x^{3}
To find the opposite of 3x-6x^{2}+6x^{3}, find the opposite of each term.
6x^{3}-2x-7x^{2}+6x^{2}-6x^{3}
Combine x and -3x to get -2x.
6x^{3}-2x-x^{2}-6x^{3}
Combine -7x^{2} and 6x^{2} to get -x^{2}.
-2x-x^{2}
Combine 6x^{3} and -6x^{3} to get 0.