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-x+40\leq 8
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
-x\leq 8-40
Subtract 40 from both sides.
-x\leq -32
Subtract 40 from 8 to get -32.
x\geq \frac{-32}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\geq 32
Fraction \frac{-32}{-1} can be simplified to 32 by removing the negative sign from both the numerator and the denominator.