
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
Given the list price of an item is $x$, Alice sells the item at $x-10$ and receives $0.1(x-10)$ as her commission, and Bob sells the item at $x-20$ and receives $0.2(x-20)$ as his commission. If they both receive the same commission, determine the value of $x$.

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