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-3x+1<0
Combine 6x and -9x to get -3x.
-3x<-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x>\frac{-1}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x>\frac{1}{3}
Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.