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9x-1+x\geq 19
Add x to both sides.
10x-1\geq 19
Combine 9x and x to get 10x.
10x\geq 19+1
Add 1 to both sides.
10x\geq 20
Add 19 and 1 to get 20.
x\geq \frac{20}{10}
Divide both sides by 10. Since 10 is positive, the inequality direction remains the same.
x\geq 2
Divide 20 by 10 to get 2.