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3x+3\left(x+1\right)\left(-1\right)=2x
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 x+1,3x+3.
3x-3\left(x+1\right)=2x
Multiply 3 and -1 to get -3.
3x-3x-3=2x
Use the distributive property to multiply -3 by x+1.
-3=2x
Combine 3x and -3x to get 0.
2x=-3
Swap sides so that all variable terms are on the left hand side.
x=\frac{-3}{2}
Divide both sides by 2.
x=-\frac{3}{2}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.