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9x-9<6-26x+1
Use the distributive property to multiply 9 by x-1.
9x-9<7-26x
Add 6 and 1 to get 7.
9x-9+26x<7
Add 26x to both sides.
35x-9<7
Combine 9x and 26x to get 35x.
35x<7+9
Add 9 to both sides.
35x<16
Add 7 and 9 to get 16.
x<\frac{16}{35}
Divide both sides by 35. Since 35 is positive, the inequality direction remains the same.