
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
Below is Xiao Ming's process of solving the inequality $\frac{1+x}{3}＜\frac{x}{2}$, please complete it:<br/>Solution: After eliminating the denominators, we get $2\left(1+x\right) \lt 3x$.<br/>Expanding the brackets, we get ______;<br/>Rearranging the terms, we get ______;<br/>Combining like terms, we get ______;<br/>Coefficient simplification for $1$, we get $x \_\_\_\_\_\_.($Fill in the blanks: ______)

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