Looks like an IMO problem

Algebra Level 4

(x1)(x3)(x5)(x2017)=(x2)(x4)(x6)(x2016)(x-1)(x-3)(x-5)\cdots (x-2017) = (x-2)(x-4)(x-6)\cdots (x-2016)

How many real solutions for xx are there for the above expression?

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