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\frac{23}{14}x=x+18
Combine 0.5x and \frac{8}{7}x to get \frac{23}{14}x.
\frac{23}{14}x-x=18
Subtract x from both sides.
\frac{9}{14}x=18
Combine \frac{23}{14}x and -x to get \frac{9}{14}x.
x=18\times \frac{14}{9}
Multiply both sides by \frac{14}{9}, the reciprocal of \frac{9}{14}.
x=\frac{18\times 14}{9}
Express 18\times \frac{14}{9} as a single fraction.
x=\frac{252}{9}
Multiply 18 and 14 to get 252.
x=28
Divide 252 by 9 to get 28.