
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 Alice sells an item at $15 less than the list price and receives 15% of her selling price as her commission, and Charles sells the item at $18 less than the list price and receives 18% of his selling price as his commission, and if Alice and Charles both receive the same commission amount, determine the list price of the item.

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