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3x^{2}+x^{2}+2x-3x\left(2x+1\right)
Use the distributive property to multiply x by x+2.
4x^{2}+2x-3x\left(2x+1\right)
Combine 3x^{2} and x^{2} to get 4x^{2}.
4x^{2}+2x-6x^{2}-3x
Use the distributive property to multiply -3x by 2x+1.
-2x^{2}+2x-3x
Combine 4x^{2} and -6x^{2} to get -2x^{2}.
-2x^{2}-x
Combine 2x and -3x to get -x.
3x^{2}+x^{2}+2x-3x\left(2x+1\right)
Use the distributive property to multiply x by x+2.
4x^{2}+2x-3x\left(2x+1\right)
Combine 3x^{2} and x^{2} to get 4x^{2}.
4x^{2}+2x-6x^{2}-3x
Use the distributive property to multiply -3x by 2x+1.
-2x^{2}+2x-3x
Combine 4x^{2} and -6x^{2} to get -2x^{2}.
-2x^{2}-x
Combine 2x and -3x to get -x.