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6x\leq 9-3
Subtract 3 from both sides.
6x\leq 6
Subtract 3 from 9 to get 6.
x\leq \frac{6}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x\leq 1
Divide 6 by 6 to get 1.