
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
Find the value of \( x \) that satisfies the equation
\[
9^{-3} = \frac{3^{72/x}}{3^{42/x} \cdot 9^{25/x}}.
\]
A) $\frac{5}{3}$
B) $\frac{10}{3}$
C) $\frac{15}{3}$
D) $\frac{20}{3}$

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