To rewrite the equation \( \frac{5}{2}x - 8 - 1 = 9 \) as two equations joined by "and," we first simplify the equation:
- Combine like terms: \[ \frac{5}{2}x - 9 = 9 \]
- Add 9 to both sides: \[ \frac{5}{2}x = 18 \]
- Multiply both sides by \( \frac{2}{5} \): \[ x = \frac{18 \times 2}{5} = \frac{36}{5} \]
Thus, we have the main equation \( \frac{5}{2}x - 8 - 1 = 9 \), and the solution is \( x = \frac{36}{5} \).
Although there are no additional restrictions such as what \( x \) cannot equal, we might assume there's some context or requirement for a second part. If you simply wanted to express it as is, it could look like:
\[ \frac{5}{2}x - 8 - 1 = 9 \quad \text{and} \quad x = \frac{36}{5} \]
Given the choices you provided, none of them exactly match, but we can reject them all since they refer to different potential values for \( x \). If the intention was merely simplification, we would note:
\[ \frac{5}{2}x - 8 - 1 = 9 \quad \text{and no additional conditions on } x \]
So the answer you might be looking for (if forced to choose from options) isn't directly listed. If you need the closest representation or clarify about restrictions, please elaborate!
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