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\frac{5}{6}x-\frac{1}{3}x-\frac{1}{4}x=169
Combine x and -\frac{1}{6}x to get \frac{5}{6}x.
\frac{1}{2}x-\frac{1}{4}x=169
Combine \frac{5}{6}x and -\frac{1}{3}x to get \frac{1}{2}x.
\frac{1}{4}x=169
Combine \frac{1}{2}x and -\frac{1}{4}x to get \frac{1}{4}x.
x=169\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
x=676
Multiply 169 and 4 to get 676.