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x^{2}+4x-7-12+2x^{2}+x
To find the opposite of 12-2x^{2}-x, find the opposite of each term.
x^{2}+4x-19+2x^{2}+x
Subtract 12 from -7 to get -19.
3x^{2}+4x-19+x
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+5x-19
Combine 4x and x to get 5x.
x^{2}+4x-7-12+2x^{2}+x
To find the opposite of 12-2x^{2}-x, find the opposite of each term.
x^{2}+4x-19+2x^{2}+x
Subtract 12 from -7 to get -19.
3x^{2}+4x-19+x
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+5x-19
Combine 4x and x to get 5x.