
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
Consider two functions given by:
- \(r(x) = |x| + 1\), the modulus function shifted upwards by 1 unit.
- \(s(x) = -2|x|\), a modulus function which is reflected about the x-axis and stretched vertically by a factor of 2.

On an x-y plane, compute the sum of the values of \(s(r(x))\) evaluated at \(x = -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5\).

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