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x-6+7x\leq 18
Add 7x to both sides.
8x-6\leq 18
Combine x and 7x to get 8x.
8x\leq 18+6
Add 6 to both sides.
8x\leq 24
Add 18 and 6 to get 24.
x\leq \frac{24}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
x\leq 3
Divide 24 by 8 to get 3.