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\left(12x-6x^{2}-4+2x\right)\left(x+1\right)
Apply the distributive property by multiplying each term of 3x-1 by each term of 4-2x.
\left(14x-6x^{2}-4\right)\left(x+1\right)
Combine 12x and 2x to get 14x.
14x^{2}+14x-6x^{3}-6x^{2}-4x-4
Apply the distributive property by multiplying each term of 14x-6x^{2}-4 by each term of x+1.
8x^{2}+14x-6x^{3}-4x-4
Combine 14x^{2} and -6x^{2} to get 8x^{2}.
8x^{2}+10x-6x^{3}-4
Combine 14x and -4x to get 10x.
\left(12x-6x^{2}-4+2x\right)\left(x+1\right)
Apply the distributive property by multiplying each term of 3x-1 by each term of 4-2x.
\left(14x-6x^{2}-4\right)\left(x+1\right)
Combine 12x and 2x to get 14x.
14x^{2}+14x-6x^{3}-6x^{2}-4x-4
Apply the distributive property by multiplying each term of 14x-6x^{2}-4 by each term of x+1.
8x^{2}+14x-6x^{3}-4x-4
Combine 14x^{2} and -6x^{2} to get 8x^{2}.
8x^{2}+10x-6x^{3}-4
Combine 14x and -4x to get 10x.