
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
Hexagon ABCDEF has a horizontal line of symmetry. What is the $x$-coordinate of vertex C so that the area of the hexagon is 30 square units, given that vertices A, B, D, E, and F are situated at A(0,0), B(0,2), D(5,2), E(5,0), and F(2,0) respectively?

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