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\left(-5x-7\right)\left(x+1\right)
To find the opposite of 5x+7, find the opposite of each term.
-5x^{2}-5x-7x-7
Apply the distributive property by multiplying each term of -5x-7 by each term of x+1.
-5x^{2}-12x-7
Combine -5x and -7x to get -12x.
\left(-5x-7\right)\left(x+1\right)
To find the opposite of 5x+7, find the opposite of each term.
-5x^{2}-5x-7x-7
Apply the distributive property by multiplying each term of -5x-7 by each term of x+1.
-5x^{2}-12x-7
Combine -5x and -7x to get -12x.