
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
If it is defined that: ① $\{m\}$ represents the smallest integer greater than $m$, for example: $\{3\}=4$, $\{-2.4\}=-2$; ② $[m]$ represents the largest integer not greater than $m$, for example: $[5]=5$, $[-3.6]=-4$, then the integer $x$ that satisfies the equation $2\{x\}-[x]=4$ is $x=\boxed{2}$.

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