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2x+\frac{1}{2}-\frac{1}{2}<2
Combine x and x to get 2x.
2x<2
Subtract \frac{1}{2} from \frac{1}{2} to get 0.
x<\frac{2}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x<1
Divide 2 by 2 to get 1.