$$65\cdot378 = 65\cdot457$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 65\cdot378 &= 65\cdot457&& \text{move the $ \color{blue}{ 29705 } $ to the left side} \\[1 em]24570-29705 &= 0&& \text{simplify left side} \\[1 em]-5135 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -5135 = 0 } $ is FALSE, we conclude that the equation has no solution.
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