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1-x-x\geq -1
Subtract x from both sides.
1-2x\geq -1
Combine -x and -x to get -2x.
-2x\geq -1-1
Subtract 1 from both sides.
-2x\geq -2
Subtract 1 from -1 to get -2.
x\leq \frac{-2}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq 1
Divide -2 by -2 to get 1.