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x-1-2x\geq 3
Subtract 2x from both sides.
-x-1\geq 3
Combine x and -2x to get -x.
-x\geq 3+1
Add 1 to both sides.
-x\geq 4
Add 3 and 1 to get 4.
x\leq -4
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.