${{(0/25)}^{(-x+1)}} \lt 128\Rightarrow {{(\frac{1}{4})}^{-x+1}}\lt {{2}^{7}}\Rightarrow {{({{2}^{-2}})}^{-x+1}}\lt {{2}^{7}}\Rightarrow {{2}^{2x-2}}\lt {{2}^{7}}\xrightarrow{2\gt 1}2x-2\lt 7$ $\Rightarrow 2x