To rewrite the equation \( 52x - 8 - 1 = 9 \) as two equations joined by "and," we first simplify the equation:
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Combine like terms: \[ 52x - 9 = 9 \]
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Move \( 9 \) to the other side: \[ 52x = 18 \]
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Solve for \( x \): \[ x = \frac{18}{52} = \frac{9}{26} \]
Now, we can write it as two equations, including the solution and the condition based on the simplified form. The condition regarding values that may cause any issues or restrictions in this context would typically revolve around potential denominators or constraints.
The best answer is: \[ 52x - 8 - 1 = 9 \quad \text{and} \quad x \neq k \text{ (where \( k \) would be any discontinuous point to consider, if applicable.)} \]
However, since we have no specific restriction based on the original equation, you would still get a format like: \[ 52x - 9 = 9 \quad \text{and} \quad x \neq k \]
Among the choices provided, the match with the derived solution and equation may involve any interpretations of when the equation equals something or when it maintains a defined value.
In the context of the simplified form:
- The best response among what appears to be the reduced forms is:
- \( 52x - 8 = 9 \) and \( x \neq -8 \).
But the specific condition should reflect actual roots or determination based on context provided. Thus if drawing from common interpretations:
- The correct formatting looks like: \[ 52x - 9 = 9 \quad \text{and} \quad x \neq \text{conditioned variable.} \]
In conclusion:
- Choose wisely based on provided options as they structure the initial equation and any accompanying conditions you've derived in context.