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13x+41-6x<-12
Subtract 6x from both sides.
7x+41<-12
Combine 13x and -6x to get 7x.
7x<-12-41
Subtract 41 from both sides.
7x<-53
Subtract 41 from -12 to get -53.
x<-\frac{53}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.