
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 the function $f(x) = -x + 2$, where $x \in [-5, 5]$. If a real number $x\_0$ is randomly selected from the interval $[-5, 5]$, the probability that the selected real number $x\_0$ satisfies $f(x\_0) \leqslant 0$ is $\_\_\_\_\_\_$.

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