
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 $a$, $b$, and $x$, along with a positive integer $k$, form a Modified O'Hara Triple $(a, b, x, k)$ if $k\sqrt{a} + \sqrt{b} = x$. For example, $(1, 4, 5, 2)$ is a Modified O'Hara Triple because $2\sqrt{1} + \sqrt{4} = 5$. Determine $x$ if $(49, 16, x, 2)$ is a Modified O'Hara Triple.

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