
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
Determine the value of \(x\) for which the matrix
\[
\begin{pmatrix} 2 + 2x & 5 \\ 4 - 2x & 9 \end{pmatrix}
\]
is not invertible.

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