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5x\left(-x\right)-5x+2\left(-x\right)-2
Apply the distributive property by multiplying each term of 5x+2 by each term of -x-1.
-5xx-5x+2\left(-1\right)x-2
Multiply 5 and -1 to get -5.
-5x^{2}-5x+2\left(-1\right)x-2
Multiply x and x to get x^{2}.
-5x^{2}-5x-2x-2
Multiply 2 and -1 to get -2.
-5x^{2}-7x-2
Combine -5x and -2x to get -7x.
5x\left(-x\right)-5x+2\left(-x\right)-2
Apply the distributive property by multiplying each term of 5x+2 by each term of -x-1.
-5xx-5x+2\left(-1\right)x-2
Multiply 5 and -1 to get -5.
-5x^{2}-5x+2\left(-1\right)x-2
Multiply x and x to get x^{2}.
-5x^{2}-5x-2x-2
Multiply 2 and -1 to get -2.
-5x^{2}-7x-2
Combine -5x and -2x to get -7x.