
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
The taxi fare standard in Wenzhou city is as follows: The starting price is 10 yuan (i.e., a fare of 10 yuan is charged for a distance of up to 4 kilometers, plus a fuel surcharge of 1 yuan). Beyond 4 kilometers, for every additional 500 meters, 1 yuan is added (if less than 500 meters, it is counted as 500 meters). A person takes such a taxi and pays a total fare of 33 yuan. Let the distance they travel be $x$ kilometers. Determine the maximum value of $x$.

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