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6x+32-\left(x+27\right)\left(x+5\right)
Combine 4x and 2x to get 6x.
6x+32-\left(x^{2}+5x+27x+135\right)
Apply the distributive property by multiplying each term of x+27 by each term of x+5.
6x+32-\left(x^{2}+32x+135\right)
Combine 5x and 27x to get 32x.
6x+32-x^{2}-32x-135
To find the opposite of x^{2}+32x+135, find the opposite of each term.
-26x+32-x^{2}-135
Combine 6x and -32x to get -26x.
-26x-103-x^{2}
Subtract 135 from 32 to get -103.
6x+32-\left(x+27\right)\left(x+5\right)
Combine 4x and 2x to get 6x.
6x+32-\left(x^{2}+5x+27x+135\right)
Apply the distributive property by multiplying each term of x+27 by each term of x+5.
6x+32-\left(x^{2}+32x+135\right)
Combine 5x and 27x to get 32x.
6x+32-x^{2}-32x-135
To find the opposite of x^{2}+32x+135, find the opposite of each term.
-26x+32-x^{2}-135
Combine 6x and -32x to get -26x.
-26x-103-x^{2}
Subtract 135 from 32 to get -103.