$$7x+7 = 6x+8$$
Answer
$$ x = 1 $$
Explanation
$$ \begin{aligned} 7x+7 &= 6x+8&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]7x-6x &= 8-7&& \text{simplify left and right hand side} \\[1 em]x &= 1&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$
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