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\frac{8}{9}x=41+23
Add 23 to both sides.
\frac{8}{9}x=64
Add 41 and 23 to get 64.
x=64\times \frac{9}{8}
Multiply both sides by \frac{9}{8}, the reciprocal of \frac{8}{9}.
x=\frac{64\times 9}{8}
Express 64\times \frac{9}{8} as a single fraction.
x=\frac{576}{8}
Multiply 64 and 9 to get 576.
x=72
Divide 576 by 8 to get 72.