
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  $\Delta ABC$  be an acute-angled triangle and let  $H$  be its orthocentre. Let  $G_1, G_2$  and  $G_3$  be the centroids of the triangles  $\Delta HBC , \Delta HCA$  and  $\Delta HAB$  respectively. If the area of  $\Delta G_1G_2G_3$  is  $7$  units, what is the area of  $\Delta ABC $ ? 

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