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6x+1+2x<9
Add 2x to both sides.
8x+1<9
Combine 6x and 2x to get 8x.
8x<9-1
Subtract 1 from both sides.
8x<8
Subtract 1 from 9 to get 8.
x<\frac{8}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
x<1
Divide 8 by 8 to get 1.