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6x-9-x<1
Subtract x from both sides.
5x-9<1
Combine 6x and -x to get 5x.
5x<1+9
Add 9 to both sides.
5x<10
Add 1 and 9 to get 10.
x<\frac{10}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x<2
Divide 10 by 5 to get 2.