Question
$$7(6x+5) = 42x+36$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 7(6x+5) &= 42x+36&& \text{simplify left side} \\[1 em]42x+35 &= 42x+36&& \text{move the $ \color{blue}{ 42x } $ to the left side and $ \color{blue}{ 35 }$ to the right} \\[1 em]42x-42x &= 36-35&& \text{simplify left and right hand side} \\[1 em]42x-42x &= 1&& \\[1 em]0 &= 1&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 1 } $ is FALSE, we conclude that the equation has no solution.
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