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