
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 slope of the tangent line at point $P(5,f(5))$ with the equation $y=-x+8$ is $-1$. Since the slope of the tangent line to the curve $y=f(x)$ at $x=5$ is given by $f'(5)$, it follows that $f'(5)=-1$. Given the equation $f'(x)=-1$, find the value of $f(5)+f'(5)$.

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