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6x+3-x\geq 6
Subtract x from both sides.
5x+3\geq 6
Combine 6x and -x to get 5x.
5x\geq 6-3
Subtract 3 from both sides.
5x\geq 3
Subtract 3 from 6 to get 3.
x\geq \frac{3}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.