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4\left(4x-4\right)+7x-9=-48
Multiply both sides of the equation by 8, the least common multiple of 2,8.
16x-16+7x-9=-48
Use the distributive property to multiply 4 by 4x-4.
23x-16-9=-48
Combine 16x and 7x to get 23x.
23x-25=-48
Subtract 9 from -16 to get -25.
23x=-48+25
Add 25 to both sides.
23x=-23
Add -48 and 25 to get -23.
x=\frac{-23}{23}
Divide both sides by 23.
x=-1
Divide -23 by 23 to get -1.