
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
A local drama club hosts a performance where a ticket costs \( x \) dollars, \( x \) being an integer. A group of drama enthusiasts pays a total of \( 120 \) dollars for their tickets, while a film studies group spends a total of \( 180 \) dollars. Determine the possible values for \( x \).
A) 10
B) 11
C) 12
D) 13
E) 14

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