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\left(6x+14\right)x^{2}+3x+7x-5x+\left(3x+7\right)\times 6
Use the distributive property to multiply 3x+7 by 2.
6x^{3}+14x^{2}+3x+7x-5x+\left(3x+7\right)\times 6
Use the distributive property to multiply 6x+14 by x^{2}.
6x^{3}+14x^{2}+10x-5x+\left(3x+7\right)\times 6
Combine 3x and 7x to get 10x.
6x^{3}+14x^{2}+5x+\left(3x+7\right)\times 6
Combine 10x and -5x to get 5x.
6x^{3}+14x^{2}+5x+18x+42
Use the distributive property to multiply 3x+7 by 6.
6x^{3}+14x^{2}+23x+42
Combine 5x and 18x to get 23x.
\left(6x+14\right)x^{2}+3x+7x-5x+\left(3x+7\right)\times 6
Use the distributive property to multiply 3x+7 by 2.
6x^{3}+14x^{2}+3x+7x-5x+\left(3x+7\right)\times 6
Use the distributive property to multiply 6x+14 by x^{2}.
6x^{3}+14x^{2}+10x-5x+\left(3x+7\right)\times 6
Combine 3x and 7x to get 10x.
6x^{3}+14x^{2}+5x+\left(3x+7\right)\times 6
Combine 10x and -5x to get 5x.
6x^{3}+14x^{2}+5x+18x+42
Use the distributive property to multiply 3x+7 by 6.
6x^{3}+14x^{2}+23x+42
Combine 5x and 18x to get 23x.