
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 a function $y = f(x)$, where $x \in \mathbb{R}$, it satisfies $f(-x + 2) = f(-x)$. For $x \in [-1, 1]$, $f(x) = |x|$. Find the number of intersection points between $y = f(x)$ and $y = \log_7 x$.

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