
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 $$\overrightarrow {a}=(1,1,x)$$, $$\overrightarrow {b}=(1,2,1)$$, and $$\overrightarrow {c}=(1,1,0)$$, find the value of $x$ that satisfies the condition $$( \overrightarrow {c}- \overrightarrow {a})\cdot (2 \overrightarrow {b})=-2$$.

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