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5x+10\geq 54
Add 15 and 39 to get 54.
5x\geq 54-10
Subtract 10 from both sides.
5x\geq 44
Subtract 10 from 54 to get 44.
x\geq \frac{44}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.