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-2x\geq 2+6
Add 6 to both sides.
-2x\geq 8
Add 2 and 6 to get 8.
x\leq \frac{8}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq -4
Divide 8 by -2 to get -4.