Final answer:
After solving the algebraic equation, we find that x = -5, which does not match any of the given options (A, B, C, D). Thus, there is a possible error in the question or the provided options.
Step-by-step explanation:
The question is asking us to solve an algebraic equation involving the product of a variable and a number, and subsequently subtracting a number to find the value of the variable that makes the equation true. Given that the product of negative six and a variable x minus seven equals twenty-three, we represent this as the equation -6x - 7 = 23. To solve for x, we follow these steps:
- Add 7 to both sides of the equation to isolate terms with x on one side:
- -6x - 7 + 7 = 23 + 7
- -6x = 30
- Divide both sides by -6 to solve for x:
- -6x / -6 = 30 / -6
- x = -5
However, since -5 is not one of the options provided (A. -3, B. -2, C. -1, D. 0), there appears to be a mistake either in the options provided or the setup of the question as written. Therefore, none of the provided options (A, B, C, or D) is the correct value for x.