
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
Three positive integers $a,$ $b,$ $c$, and $x$ form an Extended O'Hara quadruple $(a, b, c, x)$ if $\sqrt{a}+\sqrt{b}+\sqrt{c}=x.$ Determine the value of $x$ if $(16, 9, 4, x)$ is an Extended O'Hara quadruple.

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