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14x^{2}+21x-5x\left(3x-4\right)
Use the distributive property to multiply 7x by 2x+3.
14x^{2}+21x-15x^{2}+20x
Use the distributive property to multiply -5x by 3x-4.
-x^{2}+21x+20x
Combine 14x^{2} and -15x^{2} to get -x^{2}.
-x^{2}+41x
Combine 21x and 20x to get 41x.
14x^{2}+21x-5x\left(3x-4\right)
Use the distributive property to multiply 7x by 2x+3.
14x^{2}+21x-15x^{2}+20x
Use the distributive property to multiply -5x by 3x-4.
-x^{2}+21x+20x
Combine 14x^{2} and -15x^{2} to get -x^{2}.
-x^{2}+41x
Combine 21x and 20x to get 41x.