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3-x-6\geq 0
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
-3-x\geq 0
Subtract 6 from 3 to get -3.
-x\geq 3
Add 3 to both sides. Anything plus zero gives itself.
x\leq -3
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.