
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
There are three types of steel bars, type A, type B, and type C. It is known that 2 bars of type A, 1 bar of type B, and 3 bars of type C have a total length of 23 meters; 1 bar of type A, 4 bars of type B, and 5 bars of type C have a total length of 36 meters. How long is it in total for 1 bar of type A, 2 bars of type B, and 3 bars of type C?

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