
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 $f(x)=2\sin(2x+\frac{\pi}{3})$, transform the graph by reducing the $x$-coordinates of each point to half of their original length, keeping the $y$-coordinates unchanged to get the graph of the function $g(x)$, and then translate the resulting graph to the left by $\frac{\pi}{12}$ units. Among all the axes of symmetry of the graph of $g(x)$, determine the equation of the one that is closest to the origin.

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