
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 customer spent half of all their cash in a store, and afterward, they had exactly as many cents left as they initially had dollars, and twice as many dollars left as they initially had cents. How much money did the customer have before making the first purchase?

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