
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 $\triangle ABC$, point $D$ is on the extension of $AB$ such that $AD > BD$. Angles $x, y, z, w$ are in degrees at points as follows: $x$ at $D$ inside angle $ADB$, $y$ at $A$, $z$ at $B$, and $w$ at $C$. Solve for $x$ in terms of $y, z$, and $w$.
A) $x = z + w$
B) $x = 180 - z - w$
C) $x = 90 - 0.5(z + w)$
D) $x = z - w$

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