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38133-19x=2008+x
Use the distributive property to multiply 19 by 2007-x.
38133-19x-x=2008
Subtract x from both sides.
38133-20x=2008
Combine -19x and -x to get -20x.
-20x=2008-38133
Subtract 38133 from both sides.
-20x=-36125
Subtract 38133 from 2008 to get -36125.
x=\frac{-36125}{-20}
Divide both sides by -20.
x=\frac{7225}{4}
Reduce the fraction \frac{-36125}{-20} to lowest terms by extracting and canceling out -5.