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x+1\leq \frac{15}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x+1\leq -5
Divide 15 by -3 to get -5.
x\leq -5-1
Subtract 1 from both sides.
x\leq -6
Subtract 1 from -5 to get -6.