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3x\left(-x\right)-9x-2\left(-x\right)+6
Apply the distributive property by multiplying each term of 3x-2 by each term of -x-3.
3x\left(-x\right)-9x+2x+6
Multiply -2 and -1 to get 2.
3x\left(-x\right)-7x+6
Combine -9x and 2x to get -7x.
-3xx-7x+6
Multiply 3 and -1 to get -3.
-3x^{2}-7x+6
Multiply x and x to get x^{2}.
3x\left(-x\right)-9x-2\left(-x\right)+6
Apply the distributive property by multiplying each term of 3x-2 by each term of -x-3.
3x\left(-x\right)-9x+2x+6
Multiply -2 and -1 to get 2.
3x\left(-x\right)-7x+6
Combine -9x and 2x to get -7x.
-3xx-7x+6
Multiply 3 and -1 to get -3.
-3x^{2}-7x+6
Multiply x and x to get x^{2}.