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1.5\left(-x+1\right)=2
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -x+1.
-1.5x+1.5=2
Use the distributive property to multiply 1.5 by -x+1.
-1.5x=2-1.5
Subtract 1.5 from both sides.
-1.5x=0.5
Subtract 1.5 from 2 to get 0.5.
x=\frac{0.5}{-1.5}
Divide both sides by -1.5.
x=\frac{5}{-15}
Expand \frac{0.5}{-1.5} by multiplying both numerator and the denominator by 10.
x=-\frac{1}{3}
Reduce the fraction \frac{5}{-15} to lowest terms by extracting and canceling out 5.