
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
Xiao Gang, due to carelessness, mistook "$A+B$" for "$A-B$", and calculated the result of $A-B$ as $-7x^{2}+10x+12$, where $B=4x^{2}-5x-6$.<br/>$(1)$ Find the correct result of $A+B$;<br/>$(2)$ If $x=-2$, find the value of $A+2B$.

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