We present results from the first phase of the KamLAND-Zen double-beta decay experiment, corresponding to an exposure of 89.5 kg yr of $^{136}\mathrm{Xe}$. We obtain a lower limit for the neutrinoless double-beta decay half-life of ${T}_{1/2}^{0\ensuremath{\nu}}>1.9\ifmmode\times\else\texttimes\fi{}...