
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
Two schools, Xiaoxin and Xiaoxiao, have the same number of students participating in the Golden Cup Competition. The schools use cars to transport the students to the competition site. Xiaoxin's cars each carry 15 people, while Xiaoxiao's cars each carry 13 people. As a result, Xiaoxiao needs one more car than Xiaoxin. Later, each school adds one more participant, which makes both schools require the same number of cars. Finally, it is decided that each school will add one more participant, causing Xiaoxiao to need one more car than Xiaoxin again. How many students in total participate in the competition from both schools in the end?

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