
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 a new operation "$\oplus$" within the real number range with the operation rule: $a\oplus b=2a-\frac{3}{2}\left(a+b\right)$, such as $1\oplus 5=2\times 1-\frac{3}{2}(1+5)=-7$. <br/>$(1)$ If $x\oplus 4=0$, then $x=\_\_\_\_\_\_.$ <br/>$(2)$ If the solution to the equation $x\oplus m=-2\oplus \left(x+4\right)$ is a non-negative number, find the range of values for $m$.

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