
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
Parallelogram $EFGH$ with $E(3,6)$, $F(5,10)$, $G(7,6)$, and $H(5,2)$ is reflected across the $x$-axis to $E'F'G'H'$ and then $E'F'G'H'$ is reflected across the line $y = x + 2$ to $E''F''G''H''$. Determine the ordered pair of $H''$ in the coordinate plane.

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