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