$$x+1 = 2x+2$$
Answer
$$ x = -1 $$
Explanation
$$ \begin{aligned} x+1 &= 2x+2&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]x-2x &= 2-1&& \text{simplify left and right hand side} \\[1 em]-x &= 1&& \text{switch signs on both sides} \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$
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