
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 $\overrightarrow{a}=(2+\sin x, 1)$, $\overrightarrow{b}=(2, -2)$, $\overrightarrow{c}=(\sin x - 3, 1)$, $\overrightarrow{d}=(1, k)$, where $x$ is a real number and $k$ is a real number,
(Ⅰ) If $x \in \left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ and $\overrightarrow{a}$ is parallel to ($\overrightarrow{b} + \overrightarrow{c}$), find the value of $x$;
(Ⅱ) If $(\overrightarrow{a} + \overrightarrow{d})$ is parallel to $(\overrightarrow{b} + \overrightarrow{c})$, find the range of values for the real number $k$.

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