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2(1 + x) ≥ 12 - 5x
First, distribute the 2 on the left side:
2 + 2x ≥ 12 - 5x
Next, combine like terms:
2x + 5x ≥ 12 - 2
7x ≥ 10
Finally, divide both sides by 7 to solve for x:
x ≥ 10/7
The solution to the inequality is x ≥ 10/7.