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9x+19-19x=14
Use the distributive property to multiply 19 by 1-x.
-10x+19=14
Combine 9x and -19x to get -10x.
-10x=14-19
Subtract 19 from both sides.
-10x=-5
Subtract 19 from 14 to get -5.
x=\frac{-5}{-10}
Divide both sides by -10.
x=\frac{1}{2}
Reduce the fraction \frac{-5}{-10} to lowest terms by extracting and canceling out -5.