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[latex]|x - 2014| + |2014 - x| = 2016\\\\ 1) \ x \leq 2014, \ x - 2014 \leq 0, \ 2014 - x \geq 0\\\\ -x + 2014 + 2014 - x = 2016\\\\ -2x = 2016 - 2014 - 2014 = -2012, \ x = 1006[/latex] [latex]2) \ x \ \textgreater \ 2014, \ x - 2014 \ \textgreater \ 0, \ 2014 - x \ \textless \ 0\\\\ x - 2014 - 2014 + x = 2016\\\\ 2x = 2016 + 2014 + 2014 = 6044, \ x = 3022[/latex]