
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
A dog, starting at point $A$, chased a fox. The distance between them was 30 meters. The dog's leap is 2 meters, while the fox's leap is 1 meter. In the same amount of time, the dog makes 2 leaps and the fox makes 3. At what distance from point $A$ will the dog catch the fox?

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