
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
Spring has arrived, and the school organizes a spring outing for students. However, due to some reasons, the spring outing is divided into indoor and outdoor activities. There are 480 more people participating in outdoor activities than in indoor activities. Now, if 50 people are moved from indoor activities to outdoor activities, the number of people in outdoor activities becomes exactly 5 times the number of people in indoor activities. Find the total number of people participating in both indoor and outdoor activities.

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