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9x+1-39x+4=0
Multiply 13 and 3 to get 39.
-30x+1+4=0
Combine 9x and -39x to get -30x.
-30x+5=0
Add 1 and 4 to get 5.
-30x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-5}{-30}
Divide both sides by -30.
x=\frac{1}{6}
Reduce the fraction \frac{-5}{-30} to lowest terms by extracting and canceling out -5.