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\left(-x\right)x+3\left(-x\right)-2x-6
Apply the distributive property by multiplying each term of -x-2 by each term of x+3.
-x^{2}+3\left(-1\right)x-2x-6
Multiply x and x to get x^{2}.
-x^{2}-3x-2x-6
Multiply 3 and -1 to get -3.
-x^{2}-5x-6
Combine -3x and -2x to get -5x.
\left(-x\right)x+3\left(-x\right)-2x-6
Apply the distributive property by multiplying each term of -x-2 by each term of x+3.
-x^{2}+3\left(-1\right)x-2x-6
Multiply x and x to get x^{2}.
-x^{2}-3x-2x-6
Multiply 3 and -1 to get -3.
-x^{2}-5x-6
Combine -3x and -2x to get -5x.