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28+21x-8\left(x+7\right)=12^{3}
Use the distributive property to multiply 7 by 4+3x.
28+21x-8x-56=12^{3}
Use the distributive property to multiply -8 by x+7.
28+13x-56=12^{3}
Combine 21x and -8x to get 13x.
-28+13x=12^{3}
Subtract 56 from 28 to get -28.
-28+13x=1728
Calculate 12 to the power of 3 and get 1728.
13x=1728+28
Add 28 to both sides.
13x=1756
Add 1728 and 28 to get 1756.
x=\frac{1756}{13}
Divide both sides by 13.