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-3\left(1+x\right)=x-1
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-1\right), the least common multiple of 1-x,3.
-3-3x=x-1
Use the distributive property to multiply -3 by 1+x.
-3-3x-x=-1
Subtract x from both sides.
-3-4x=-1
Combine -3x and -x to get -4x.
-4x=-1+3
Add 3 to both sides.
-4x=2
Add -1 and 3 to get 2.
x=\frac{2}{-4}
Divide both sides by -4.
x=-\frac{1}{2}
Reduce the fraction \frac{2}{-4} to lowest terms by extracting and canceling out 2.