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2x^{2}+x-2x-1-2\left(x-5\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-1 by each term of 2x+1.
2x^{2}-x-1-2\left(x-5\right)\left(x+2\right)
Combine x and -2x to get -x.
2x^{2}-x-1+\left(-2x+10\right)\left(x+2\right)
Use the distributive property to multiply -2 by x-5.
2x^{2}-x-1-2x^{2}-4x+10x+20
Apply the distributive property by multiplying each term of -2x+10 by each term of x+2.
2x^{2}-x-1-2x^{2}+6x+20
Combine -4x and 10x to get 6x.
-x-1+6x+20
Combine 2x^{2} and -2x^{2} to get 0.
5x-1+20
Combine -x and 6x to get 5x.
5x+19
Add -1 and 20 to get 19.
2x^{2}+x-2x-1-2\left(x-5\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-1 by each term of 2x+1.
2x^{2}-x-1-2\left(x-5\right)\left(x+2\right)
Combine x and -2x to get -x.
2x^{2}-x-1+\left(-2x+10\right)\left(x+2\right)
Use the distributive property to multiply -2 by x-5.
2x^{2}-x-1-2x^{2}-4x+10x+20
Apply the distributive property by multiplying each term of -2x+10 by each term of x+2.
2x^{2}-x-1-2x^{2}+6x+20
Combine -4x and 10x to get 6x.
-x-1+6x+20
Combine 2x^{2} and -2x^{2} to get 0.
5x-1+20
Combine -x and 6x to get 5x.
5x+19
Add -1 and 20 to get 19.