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5x^{2}-x-x\left(2+4x\right)
Use the distributive property to multiply x by 5x-1.
5x^{2}-x-\left(2x+4x^{2}\right)
Use the distributive property to multiply x by 2+4x.
5x^{2}-x-2x-4x^{2}
To find the opposite of 2x+4x^{2}, find the opposite of each term.
5x^{2}-3x-4x^{2}
Combine -x and -2x to get -3x.
x^{2}-3x
Combine 5x^{2} and -4x^{2} to get x^{2}.
5x^{2}-x-x\left(2+4x\right)
Use the distributive property to multiply x by 5x-1.
5x^{2}-x-\left(2x+4x^{2}\right)
Use the distributive property to multiply x by 2+4x.
5x^{2}-x-2x-4x^{2}
To find the opposite of 2x+4x^{2}, find the opposite of each term.
5x^{2}-3x-4x^{2}
Combine -x and -2x to get -3x.
x^{2}-3x
Combine 5x^{2} and -4x^{2} to get x^{2}.