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-14\leq -x+16
Multiply -2 and 7 to get -14.
-x+16\geq -14
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-x\geq -14-16
Subtract 16 from both sides.
-x\geq -30
Subtract 16 from -14 to get -30.
x\leq \frac{-30}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\leq 30
Fraction \frac{-30}{-1} can be simplified to 30 by removing the negative sign from both the numerator and the denominator.