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4x+2-2x=x+3\left(1-x\right)
Use the distributive property to multiply 2 by 1-x.
2x+2=x+3\left(1-x\right)
Combine 4x and -2x to get 2x.
2x+2=x+3-3x
Use the distributive property to multiply 3 by 1-x.
2x+2=-2x+3
Combine x and -3x to get -2x.
2x+2+2x=3
Add 2x to both sides.
4x+2=3
Combine 2x and 2x to get 4x.
4x=3-2
Subtract 2 from both sides.
4x=1
Subtract 2 from 3 to get 1.
x=\frac{1}{4}
Divide both sides by 4.