Question
$$-6(6x+4) = -36x-24$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} -6(6x+4) &= -36x-24&& \text{simplify left side} \\[1 em]-(36x+24) &= -36x-24&& \\[1 em]-36x-24 &= -36x-24&& \text{move the $ \color{blue}{ -36x } $ to the left side and $ \color{blue}{ -24 }$ to the right} \\[1 em]-36x+36x &= -24+24&& \text{simplify left and right hand side} \\[1 em]-36x+36x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 0 = 0 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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