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x^{2}-4x+2x-8+3\left(x-1\right)
Apply the distributive property by multiplying each term of x+2 by each term of x-4.
x^{2}-2x-8+3\left(x-1\right)
Combine -4x and 2x to get -2x.
x^{2}-2x-8+3x-3
Use the distributive property to multiply 3 by x-1.
x^{2}+x-8-3
Combine -2x and 3x to get x.
x^{2}+x-11
Subtract 3 from -8 to get -11.
x^{2}-4x+2x-8+3\left(x-1\right)
Apply the distributive property by multiplying each term of x+2 by each term of x-4.
x^{2}-2x-8+3\left(x-1\right)
Combine -4x and 2x to get -2x.
x^{2}-2x-8+3x-3
Use the distributive property to multiply 3 by x-1.
x^{2}+x-8-3
Combine -2x and 3x to get x.
x^{2}+x-11
Subtract 3 from -8 to get -11.