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7x-1+2x>9
Add 2x to both sides.
9x-1>9
Combine 7x and 2x to get 9x.
9x>9+1
Add 1 to both sides.
9x>10
Add 9 and 1 to get 10.
x>\frac{10}{9}
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.