
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
The equation \( x^{2} + x - 1 = x e^{x^{2} - 1} + (x^{2} - 1) e^{x} \) has a solution set \(\mathrm{A}\) (where \(\mathrm{e}\) is an irrational number, \(\mathrm{e} = 2.71828 \ldots, x\) is a real number). Find the sum of squares of all elements in \(\mathrm{A}\).

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