
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 data of the abscissa $x$ and ordinate $y$ of some points on the upper part of the parabola $y=a\left(x-h\right)^{2}+k$, determine the value of $x_{1}$ for points $A(-2,m)$ and $B(x_{1},m)$, which are two different points on the parabola.

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