
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
In tetrahedron $O\_ (ABC)$, point $M$ is on $OA$ with $OM$=$2MA$, and $N$ is the midpoint of $BC$. If $\overset{→}{OG} = \frac{1}{3} \overset{→}{OA} + \frac{x}{4} \overset{→}{OB} + \frac{x}{4} \overset{→}{OC}$, find the value of $x$ that makes $G$ collinear with $M$ and $N$.

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