
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 coordinates of the vertices of a pentagon are $A(0, 0)$, $B(11, 0)$, $C(11, 2)$, $D(6, 2)$, and $E(0, 8)$. Write the equation of the line that is parallel to the $y$-axis and bisects the area of the pentagon.

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