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-4x+1-x<5
Subtract x from both sides.
-5x+1<5
Combine -4x and -x to get -5x.
-5x<5-1
Subtract 1 from both sides.
-5x<4
Subtract 1 from 5 to get 4.
x>-\frac{4}{5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.