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\left(3x^{2}-3x+x-1\right)\left(x-3\right)+4
Apply the distributive property by multiplying each term of 3x+1 by each term of x-1.
\left(3x^{2}-2x-1\right)\left(x-3\right)+4
Combine -3x and x to get -2x.
3x^{3}-9x^{2}-2x^{2}+6x-x+3+4
Apply the distributive property by multiplying each term of 3x^{2}-2x-1 by each term of x-3.
3x^{3}-11x^{2}+6x-x+3+4
Combine -9x^{2} and -2x^{2} to get -11x^{2}.
3x^{3}-11x^{2}+5x+3+4
Combine 6x and -x to get 5x.
3x^{3}-11x^{2}+5x+7
Add 3 and 4 to get 7.
\left(3x^{2}-3x+x-1\right)\left(x-3\right)+4
Apply the distributive property by multiplying each term of 3x+1 by each term of x-1.
\left(3x^{2}-2x-1\right)\left(x-3\right)+4
Combine -3x and x to get -2x.
3x^{3}-9x^{2}-2x^{2}+6x-x+3+4
Apply the distributive property by multiplying each term of 3x^{2}-2x-1 by each term of x-3.
3x^{3}-11x^{2}+6x-x+3+4
Combine -9x^{2} and -2x^{2} to get -11x^{2}.
3x^{3}-11x^{2}+5x+3+4
Combine 6x and -x to get 5x.
3x^{3}-11x^{2}+5x+7
Add 3 and 4 to get 7.