
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 teacher asked the students to solve the equation $\frac{x-1}{2}-1=\frac{2x+1}{3}$. A student provided the following solution:<br/>Solution: After clearing the denominators, we get $3\left(x-1\right)-1=2\left(2x+1\right)$①,<br/>Expanding the brackets, we get $3x-1-1=4x+1$②,<br/>Rearranging terms, we get $3x+4x=1-1-1$③,<br/>Combining like terms, we get $7x=-1$④,<br/>Dividing both sides by $7$, we get $x=-\frac{1}{7}$⑤,<br/>Based on the student's solution process, you notice:<br/>$(1)$ The error starts from step ______, and the reason for the error in that step is ______;<br/>$(2)$ Please provide the correct solution process.

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