
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
Define: Use $\{m\}$ to represent the smallest integer greater than $m$, for example, $\{\frac{5}{2}\}=3$, $\{4\}=5$, $\{-1.5\}=-1$, etc.; use $\left[m\right]$ to represent the largest integer not greater than $m$, for example, $[\frac{7}{2}]=3$, $\left[2\right]=2$, $\left[-3.2\right]=-4$. If the integer $x$ satisfies the equation: $3\{x\}+2\left[x\right]=23$, then $x=$____.

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