
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
Given that the solutions of the equations $x+5+\ln x=0$ and $x+5+e^{x}=0$ are $\alpha$ and $\beta$ respectively, determine the monotonic decreasing interval of the function $f(x)=(x+\alpha)(x+\beta)$.

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