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6x+6=7\left(4-x\right)
Use the distributive property to multiply 3 by 2x+2.
6x+6=28-7x
Use the distributive property to multiply 7 by 4-x.
6x+6+7x=28
Add 7x to both sides.
13x+6=28
Combine 6x and 7x to get 13x.
13x=28-6
Subtract 6 from both sides.
13x=22
Subtract 6 from 28 to get 22.
x=\frac{22}{13}
Divide both sides by 13.