
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 average age of all the people who gathered at a family celebration was equal to the number of attendees. Aunt Beta, who was 29 years old, soon excused herself and left. Even after Aunt Beta left, the average age of all the remaining attendees was still equal to their number.

How many people were originally at the celebration?

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