
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 real numbers $a$ and $b$ are additive inverses of each other, while $c$ and $d$ are multiplicative inverses. The absolute value of $x$ is 3. Find the value of the algebraic expression $x^2 + (a + b - cd)x + \sqrt{a + b} + \sqrt[3]{cd}$.

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