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-4x+1>25
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-4x>25-1
Subtract 1 from both sides.
-4x>24
Subtract 1 from 25 to get 24.
x<\frac{24}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x<-6
Divide 24 by -4 to get -6.