
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
Fox starts with $x$ coins and crosses the bridge four times, where the toll is 50 coins per crossing and his money doubles every time he crosses the bridge. Determine Fox's initial amount of coins, $x$.

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