
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 vectors $\overrightarrow{a}=(1,2-x)$ and $\overrightarrow{b}=(1+x,2)$.
1. Find the value(s) of $x$ when $\overrightarrow{a}$ is parallel to $\overrightarrow{b}$.
2. Find the range of $\overrightarrow{a} \cdot (\overrightarrow{a} - \overrightarrow{b})$ when $x \in [0, 2]$.

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