
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
Rectangle $PQRS$ with $P(3,4)$, $Q(6,4)$, $R(6,1)$, and $S(3,1)$ is reflected across the $x$-axis to $P'Q'R'S'$, and then $P'Q'R'S'$ is reflected across the line $y=-x+2$. What is the ordered pair of $R''$ after these transformations?

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