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\left(3x^{2}+3x+2x+2\right)\left(x+4\right)
Apply the distributive property by multiplying each term of 3x+2 by each term of x+1.
\left(3x^{2}+5x+2\right)\left(x+4\right)
Combine 3x and 2x to get 5x.
3x^{3}+12x^{2}+5x^{2}+20x+2x+8
Apply the distributive property by multiplying each term of 3x^{2}+5x+2 by each term of x+4.
3x^{3}+17x^{2}+20x+2x+8
Combine 12x^{2} and 5x^{2} to get 17x^{2}.
3x^{3}+17x^{2}+22x+8
Combine 20x and 2x to get 22x.
\left(3x^{2}+3x+2x+2\right)\left(x+4\right)
Apply the distributive property by multiplying each term of 3x+2 by each term of x+1.
\left(3x^{2}+5x+2\right)\left(x+4\right)
Combine 3x and 2x to get 5x.
3x^{3}+12x^{2}+5x^{2}+20x+2x+8
Apply the distributive property by multiplying each term of 3x^{2}+5x+2 by each term of x+4.
3x^{3}+17x^{2}+20x+2x+8
Combine 12x^{2} and 5x^{2} to get 17x^{2}.
3x^{3}+17x^{2}+22x+8
Combine 20x and 2x to get 22x.