$$1(x+1) = 2x+7$$
Answer
$$ x = -6 $$
Explanation
$$ \begin{aligned} 1(x+1) &= 2x+7&& \text{simplify left side} \\[1 em]x+1 &= 2x+7&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]x-2x &= 7-1&& \text{simplify left and right hand side} \\[1 em]-x &= 6&& \text{switch signs on both sides} \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$
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