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\left(4x+6\right)\left(-x-1\right)
Use the distributive property to multiply 2 by 2x+3.
4x\left(-x\right)-4x+6\left(-x\right)-6
Apply the distributive property by multiplying each term of 4x+6 by each term of -x-1.
-4xx-4x+6\left(-1\right)x-6
Multiply 4 and -1 to get -4.
-4x^{2}-4x+6\left(-1\right)x-6
Multiply x and x to get x^{2}.
-4x^{2}-4x-6x-6
Multiply 6 and -1 to get -6.
-4x^{2}-10x-6
Combine -4x and -6x to get -10x.
\left(4x+6\right)\left(-x-1\right)
Use the distributive property to multiply 2 by 2x+3.
4x\left(-x\right)-4x+6\left(-x\right)-6
Apply the distributive property by multiplying each term of 4x+6 by each term of -x-1.
-4xx-4x+6\left(-1\right)x-6
Multiply 4 and -1 to get -4.
-4x^{2}-4x+6\left(-1\right)x-6
Multiply x and x to get x^{2}.
-4x^{2}-4x-6x-6
Multiply 6 and -1 to get -6.
-4x^{2}-10x-6
Combine -4x and -6x to get -10x.