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3x^{2}-3x+2-\left(3x^{2}+5x-4x-6-6x+2\right)
To find the opposite of 4x+6, find the opposite of each term.
3x^{2}-3x+2-\left(3x^{2}+x-6-6x+2\right)
Combine 5x and -4x to get x.
3x^{2}-3x+2-\left(3x^{2}-5x-6+2\right)
Combine x and -6x to get -5x.
3x^{2}-3x+2-\left(3x^{2}-5x-4\right)
Add -6 and 2 to get -4.
3x^{2}-3x+2-3x^{2}+5x+4
To find the opposite of 3x^{2}-5x-4, find the opposite of each term.
-3x+2+5x+4
Combine 3x^{2} and -3x^{2} to get 0.
2x+2+4
Combine -3x and 5x to get 2x.
2x+6
Add 2 and 4 to get 6.
3x^{2}-3x+2-\left(3x^{2}+5x-4x-6-6x+2\right)
To find the opposite of 4x+6, find the opposite of each term.
3x^{2}-3x+2-\left(3x^{2}+x-6-6x+2\right)
Combine 5x and -4x to get x.
3x^{2}-3x+2-\left(3x^{2}-5x-6+2\right)
Combine x and -6x to get -5x.
3x^{2}-3x+2-\left(3x^{2}-5x-4\right)
Add -6 and 2 to get -4.
3x^{2}-3x+2-3x^{2}+5x+4
To find the opposite of 3x^{2}-5x-4, find the opposite of each term.
-3x+2+5x+4
Combine 3x^{2} and -3x^{2} to get 0.
2x+2+4
Combine -3x and 5x to get 2x.
2x+6
Add 2 and 4 to get 6.