Final answer:
The value of x in the given equation is determined by simplifying the expression and then solving for x, which yields the answer of 7.
Step-by-step explanation:
The value of x in the equation -3 - (-8) - (-2) - x is solved by first simplifying the expression. We have two negative signs in front of the numbers 8 and 2, which indicates that we should add these numbers instead of subtracting them. So the expression simplifies to:
-3 + 8 + 2 - x = 7 - x
Now, we want the expression to equal zero to solve for x. Therefore, we can set the expression equal to zero and solve for x:
7 - x = 0
Subtract 7 from both sides to get:
-x = -7
Finally, multiplying both sides by -1 yields:
x = 7
Therefore, the correct answer is d. 7.