
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
Given there are 504 female students and 596 male students in a high school, and the average weight of a random sample of 50 female students is 49 kg and 60 male students is 57 kg, find the expression that estimates the average weight of all first-year students.

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