
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
Six small circles, each of radius 4 units, are tangent to a large circle. Each small circle is also tangent to its two neighboring small circles. If the center of the large circle is offset from the center of the hexagon formed by the centers of the small circles by 1 unit horizontally, find the diameter of the large circle.

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