$$ \begin{aligned} 11-11x\cdot11+11 &= 0&& \text{simplify left side} \\[1 em]11-121x+11 &= 0&& \\[1 em]-121x+22 &= 0&& \text{ move the constants to the right } \\[1 em]-121x &= -22&& \text{ divide both sides by $ -121 $ } \\[1 em]x &= \frac{-22}{-121}&& \\[1 em]x &= \frac{2}{11}&& \\[1 em] \end{aligned} $$
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