
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
Let the amount each student receives per day be $x. Nine students worked for 5 days, three students worked for 4 days, and six students worked for 7 days, earning a total of $864. What is the total amount earned by the students from Citadel school?

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