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1⌊x⌋+1⌊2x⌋={x}+13\large \frac 1{\lfloor x\rfloor}+\frac 1{\lfloor 2x \rfloor}= \{x\}+\frac 13⌊x⌋1+⌊2x⌋1={x}+31
Find the number of real solutions to the equation above.
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