
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 $PQRS$ with $P(1,4)$, $Q(3,8)$, $R(7,4)$, and $S(5,0)$ is reflected across the $x$-axis to $P'Q'R'S'$ and then $P'Q'R'S'$ is reflected across the line $y=-x$. Determine the coordinates of the point $S''$, the final image of $S'$ after both transformations.

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