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x+1-2x>-6
Subtract 2x from both sides.
-x+1>-6
Combine x and -2x to get -x.
-x>-6-1
Subtract 1 from both sides.
-x>-7
Subtract 1 from -6 to get -7.
x<\frac{-7}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x<7
Fraction \frac{-7}{-1} can be simplified to 7 by removing the negative sign from both the numerator and the denominator.