
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
Define the operation "※" on real numbers as $a$※$b=ab-a+\frac{1}{2}b$, for example: $3$※$2=3\times 2-3+\frac{1}{2}\times 2=4$.  
$(1)$ If $a=5$ and $b=-4$, calculate the value of $a$※$b$.  
$(2)$ If $\left(-2\right)$※$x=1$, find the value of $x$.  
$(3)$ If $a-b=2022$, find the value of $a$※$b-b$※$a$.

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