$\lfloor x - |x-a| \rfloor = \lfloor x \right \rfloor$
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Investigate the equation: \(\left\lfloor x - \left\lvert x - a\right\rvert \right\rfloor = \left\lfloor x \right\rfloor\).
$\lfloor x - |x-a| \rfloor = \lfloor x \right \rfloor$
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