
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
If $\dfrac{\frac{x}{5}}{3} = \dfrac{15}{\frac{x}{3}}$, then find $x$.
A) \(\pm 9\sqrt{3}\)
B) \(\pm 10\sqrt{3}\)
C) \(\pm 12\sqrt{3}\)
D) \(\pm 15\sqrt{3}\)
E) \(\pm 20\sqrt{3}\)

Present the answer in LaTex format: \boxed{Your answer}
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