
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 area of rectangle $EFGH$ with vertices $E(0, 0)$, $F(0, 6)$, $G(x, 6)$, and $H(x, 0)$ is 48 square units. If $x > 0$, what is the value of $x$, and does the diagonal $EG$ make an angle of 45 degrees with the x-axis?

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