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-\frac{3}{5}x\geq 1-6
Subtract 6 from both sides.
-\frac{3}{5}x\geq -5
Subtract 6 from 1 to get -5.
x\leq -5\left(-\frac{5}{3}\right)
Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}. Since -\frac{3}{5} is negative, the inequality direction is changed.
x\leq \frac{-5\left(-5\right)}{3}
Express -5\left(-\frac{5}{3}\right) as a single fraction.
x\leq \frac{25}{3}
Multiply -5 and -5 to get 25.