
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
If \(x\) and \(y\) are non-zero real numbers such that
\[
|x| + y = 5 \quad \text{and} \quad |x|y + x^3 - 2 = 0,
\]
then the integer nearest to \(x - y + 1\) is:
A) -4
B) -3
C) -2
D) 1
E) 2

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