
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
Two people, A and B, solved the inequality $x^{2}+bx+c \lt 0$ with respect to $x$. A made a mistake in the constant $b$ and obtained the solution set $\{x\left|\right.-6 \lt x \lt 2\}$; B made a mistake in the constant $c$ and obtained the solution set $\{x\left|\right.-3 \lt x \lt 2\}$. Find the solution set of the original inequality.

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