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x^{2}+14x+1+5-\left(4x^{2}-2x+2\right)
Combine 7x and 7x to get 14x.
x^{2}+14x+6-\left(4x^{2}-2x+2\right)
Add 1 and 5 to get 6.
x^{2}+14x+6-4x^{2}+2x-2
To find the opposite of 4x^{2}-2x+2, find the opposite of each term.
-3x^{2}+14x+6+2x-2
Combine x^{2} and -4x^{2} to get -3x^{2}.
-3x^{2}+16x+6-2
Combine 14x and 2x to get 16x.
-3x^{2}+16x+4
Subtract 2 from 6 to get 4.
x^{2}+14x+1+5-\left(4x^{2}-2x+2\right)
Combine 7x and 7x to get 14x.
x^{2}+14x+6-\left(4x^{2}-2x+2\right)
Add 1 and 5 to get 6.
x^{2}+14x+6-4x^{2}+2x-2
To find the opposite of 4x^{2}-2x+2, find the opposite of each term.
-3x^{2}+14x+6+2x-2
Combine x^{2} and -4x^{2} to get -3x^{2}.
-3x^{2}+16x+6-2
Combine 14x and 2x to get 16x.
-3x^{2}+16x+4
Subtract 2 from 6 to get 4.