\(\frac{1}{2015}x=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{2014}\right)\left(1-\frac{1}{2015}\right)\)
\(\frac{1}{2015}x=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times.....\times\frac{2013}{2014}\times\frac{2014}{2015}\)
\(\frac{1}{2015}x=\frac{1}{2015}\)
\(x=1\)
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