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2x\geq 3+3
Add 3 to both sides.
2x\geq 6
Add 3 and 3 to get 6.
x\geq \frac{6}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x\geq 3
Divide 6 by 2 to get 3.