
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 a sequence of numbers $a_1$, $a_2$, $a_3$, $\ldots, a_{2015}, \ldots$, where the sum of any three consecutive numbers is $20$. It is known that $a_2=2x$, $a_{18}=9+x$, $a_{65}=6-x$. Calculate the value of $a_{2023}$.

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