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7x^{2}-42x+\left(3x-2\right)\left(4x+5\right)
Use the distributive property to multiply 7x by x-6.
7x^{2}-42x+12x^{2}+15x-8x-10
Apply the distributive property by multiplying each term of 3x-2 by each term of 4x+5.
7x^{2}-42x+12x^{2}+7x-10
Combine 15x and -8x to get 7x.
19x^{2}-42x+7x-10
Combine 7x^{2} and 12x^{2} to get 19x^{2}.
19x^{2}-35x-10
Combine -42x and 7x to get -35x.
7x^{2}-42x+\left(3x-2\right)\left(4x+5\right)
Use the distributive property to multiply 7x by x-6.
7x^{2}-42x+12x^{2}+15x-8x-10
Apply the distributive property by multiplying each term of 3x-2 by each term of 4x+5.
7x^{2}-42x+12x^{2}+7x-10
Combine 15x and -8x to get 7x.
19x^{2}-42x+7x-10
Combine 7x^{2} and 12x^{2} to get 19x^{2}.
19x^{2}-35x-10
Combine -42x and 7x to get -35x.