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x+1-3x<-2
Subtract 3x from both sides.
-2x+1<-2
Combine x and -3x to get -2x.
-2x<-2-1
Subtract 1 from both sides.
-2x<-3
Subtract 1 from -2 to get -3.
x>\frac{-3}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>\frac{3}{2}
Fraction \frac{-3}{-2} can be simplified to \frac{3}{2} by removing the negative sign from both the numerator and the denominator.