# Equating series of Sums and Products!

Number Theory Level 5

$\large{\sum_{k=1}^{2015} 2^{k-1} (x_k)^{2015} = 2014 \prod_{k=1}^{2015} x_k}$

For all integers $$x_i$$, find the sum of all $$x_i$$(s), where $$\leq i \leq 2015$$ such that the above equation is satisfied.

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