# Absolute Value

Algebra Level pending

Given that $$n$$ real numbers $$x_1,x_2,...,x_n$$ satisfy $$\mid x_i\mid<1$$ ($$i=1,2,...,n$$, and $\sum_{i=1}^n| x_i|=49+|\sum_{i=1}^nx_i|$ Find the minimum possible value of $$n$$.

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