
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 price of a ticket to a concert is \( x \) dollars, where \( x \) is an even whole number. A group of students from one class buys tickets costing a total of \( \$72 \), and another group from a different class buys tickets costing a total of \( \$108 \). Determine the number of possible values for \( x \).

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