
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
If the equation $2\sin (2x+ \frac {\pi}{6})=m$ has two distinct real solutions $x_{1}$ and $x_{2}$ in the interval $x\in[0, \frac {\pi}{2}]$, find the value of $x_{1}+x_{2}$.

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