
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 the vectors $\overset{⇀}{a}=(3,1)$, $\overset{⇀}{b}=(x,-2)$, and $\overset{⇀}{c}=(0,2)$, if $\overset{⇀}{a} \perp (\overset{⇀}{b} - \overset{⇀}{c})$, find the value of the real number $x$.

The possible answers are:
A) $\frac{4}{3}$
B) $\frac{3}{4}$
C) $-\frac{3}{4}$
D) $-\frac{4}{3}$

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