
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 starting fare for taxis in our city is $7$ yuan, which means that the fare is $7$ yuan when the distance does not exceed $3$ kilometers, and $1.2$ yuan per kilometer for any distance beyond that. Teacher Zhang took a taxi from Kangbashi District Experimental High School to Ordos Station. When he arrived, the fare shown on the taxi meter was $17.8$ yuan. Calculate the distance Teacher Zhang traveled by taxi.

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