Find the number of real \(x\) satisfying the equation \( \{x\} \lfloor x \rfloorâ€“ 2\lfloor x \rfloor = \{x\} -1\).

**Notations**:

\(\{\cdot \}\) denotes the fractional part function.

\(\lfloor \cdot \rfloor\) denotes the floor function.

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