
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 following conclusions:<br/>①If $|x|=|-3|$, then $x=\pm 3$;<br/>②If $|-x|=|-3|$, then $x=3$;<br/>③If $|x|=|y|$, then $x=y$;<br/>④If $x+y=0$, then $\frac{|x|}{|y|}=1$;<br/>⑤Given that $a$, $b$, $c$ are all non-zero rational numbers, if $a \lt 0$, $a+b \lt 0$, $a+b+c \lt 0$, then the value of $\frac{|a|}{a}+\frac{|b|}{b}+\frac{|c|}{c}-\frac{|abc|}{abc}$ is $2$ or $-2$.<br/>Among them, the correct conclusions are ______ (fill in the numbers).

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