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3+5x<-6x-\left(-1\right)
To find the opposite of 6x-1, find the opposite of each term.
3+5x<-6x+1
The opposite of -1 is 1.
3+5x+6x<1
Add 6x to both sides.
3+11x<1
Combine 5x and 6x to get 11x.
11x<1-3
Subtract 3 from both sides.
11x<-2
Subtract 3 from 1 to get -2.
x<-\frac{2}{11}
Divide both sides by 11. Since 11 is positive, the inequality direction remains the same.