$$65(x+357) = 65(x+378)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 65(x+357) &= 65(x+378)&& \text{simplify left and right hand side} \\[1 em]65x+23205 &= 65x+24570&& \text{move the $ \color{blue}{ 65x } $ to the left side and $ \color{blue}{ 23205 }$ to the right} \\[1 em]65x-65x &= 24570-23205&& \text{simplify left and right hand side} \\[1 em]65x-65x &= 1365&& \\[1 em]0 &= 1365&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 1365 } $ is FALSE, we conclude that the equation has no solution.
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