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8x-14+5\left(x+5\right)=78
Use the distributive property to multiply 2 by 4x-7.
8x-14+5x+25=78
Use the distributive property to multiply 5 by x+5.
13x-14+25=78
Combine 8x and 5x to get 13x.
13x+11=78
Add -14 and 25 to get 11.
13x=78-11
Subtract 11 from both sides.
13x=67
Subtract 11 from 78 to get 67.
x=\frac{67}{13}
Divide both sides by 13.