
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
Three boys divide 78 marbles among them. The first boy receives three times as many marbles as the second boy plus 2 extra marbles. The second boy receives marbles equal to half the number of marbles the third boy has. Determine the number of marbles each boy receives.

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