
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
Let $f(x)$ be an odd function defined on $\mathbb{R}$, and it satisfies $f(x+2)=-f(x)$. Also, when $0 \leqslant x \leqslant 1$, $f(x)= \frac {1}{2}x$. Then, the solution set of the equation $f(x)=- \frac {1}{2}$ is __________.

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