Final answer:
To solve the equation -1/8 (x + 35) = 7, multiply both sides by -8, then isolate x by subtracting 35, giving x = -91. Check the solution by substituting it back into the original equation.
Step-by-step explanation:
To solve the equation -1/8 (x + 35) = 7, the correct sequence of operations is as follows:
- Multiply both sides of the equation by -8 to cancel out the fraction on the left side. This gives us x + 35 = -56.
- Subtract 35 from both sides to isolate the variable. This results in x = -56 - 35.
- Combine the numbers on the right side to find the value of x, which is x = -91.
- Check the answer by substituting -91 back into the original equation to ensure the left side equals 7.
By following these steps, we make sure the solution is reasonable and confirms the correctness of the operations performed.