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x^{2}-9-\left(7x^{2}+20x-3\right)
Use the distributive property to multiply x+3 by 7x-1 and combine like terms.
x^{2}-9-7x^{2}-20x+3
To find the opposite of 7x^{2}+20x-3, find the opposite of each term.
-6x^{2}-9-20x+3
Combine x^{2} and -7x^{2} to get -6x^{2}.
-6x^{2}-6-20x
Add -9 and 3 to get -6.
x^{2}-9-\left(7x^{2}+20x-3\right)
Use the distributive property to multiply x+3 by 7x-1 and combine like terms.
x^{2}-9-7x^{2}-20x+3
To find the opposite of 7x^{2}+20x-3, find the opposite of each term.
-6x^{2}-9-20x+3
Combine x^{2} and -7x^{2} to get -6x^{2}.
-6x^{2}-6-20x
Add -9 and 3 to get -6.