
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
3 \cdot 40 A is the time needed to complete a job which is $m$ times the time needed by $B$ and $C$ together to complete the job; $B$ needs $n$ times the time needed by $A$ and $C$ together to complete the job, and $C$ needs $x$ times the time needed by $A$ and $B$ together to complete the job. Determine the value of $x$.

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