
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 the $5$ people in Room X is $35$. The average age of the $3$ people in Room Y is $30$. Room Z has $2$ people averaging $45$ years. If all three groups are combined, what is the average age of everyone combined?
**A)** 34.5  
**B)** 35  
**C)** 35.5  
**D)** 36

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