
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
Find all values of $x$ for which $3x - 4 < 9 - 2x + |x-1|$.
**A)** $1 \leq x < 3$
**B)** $x < \frac{7}{3}$
**C)** $x < 1$
**D)** $x < 3 \, \text{and} \, x \geq 1$
**E)** $x<2$

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