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8x^{2}-12x+2x-3-\left(x+15\right)
Apply the distributive property by multiplying each term of 4x+1 by each term of 2x-3.
8x^{2}-10x-3-\left(x+15\right)
Combine -12x and 2x to get -10x.
8x^{2}-10x-3-x-15
To find the opposite of x+15, find the opposite of each term.
8x^{2}-11x-3-15
Combine -10x and -x to get -11x.
8x^{2}-11x-18
Subtract 15 from -3 to get -18.
8x^{2}-12x+2x-3-\left(x+15\right)
Apply the distributive property by multiplying each term of 4x+1 by each term of 2x-3.
8x^{2}-10x-3-\left(x+15\right)
Combine -12x and 2x to get -10x.
8x^{2}-10x-3-x-15
To find the opposite of x+15, find the opposite of each term.
8x^{2}-11x-3-15
Combine -10x and -x to get -11x.
8x^{2}-11x-18
Subtract 15 from -3 to get -18.