
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
The sequence \( \{x_{n}\} \) is defined as follows:
\[ 
x_{1} = \frac{2}{3}, \quad x_{n+1} = \frac{x_{n}}{2(2n+1)x_{n} + 1} \quad (n \in \mathbb{Z}_{+}). 
\]

Find the sum \( x_{1} + x_{2} + \cdots + x_{2014} \).

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