
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
The faces of a cube are numbered with consecutive integers such that the sum of the numbers on each pair of opposite faces is the same, determine the common sum for the three pairs of opposite faces.

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