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4x+7=-2x+2+1
Use the distributive property to multiply -2 by x-1.
4x+7=-2x+3
Add 2 and 1 to get 3.
4x+7+2x=3
Add 2x to both sides.
6x+7=3
Combine 4x and 2x to get 6x.
6x=3-7
Subtract 7 from both sides.
6x=-4
Subtract 7 from 3 to get -4.
x=\frac{-4}{6}
Divide both sides by 6.
x=-\frac{2}{3}
Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.