
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 function $f(x)$ be an odd function defined on $\mathbb{R}$, and $f(x) = 1 + \log_2 x$ for $x \in (0, 1]$, and for any $x \in \mathbb{R}$, $f(x) = f(x+4)$ holds, find the value of $f(2014) + f(2016) - 2f(2015)$.

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