Final answer:
The question relates to solving a linear equation in one variable. By distributing, combining like terms, and isolating x, we find the solution for the variable x.
Step-by-step explanation:
The question provided is a linear equation with one variable that requires solving for x. First, let's clarify the given equation, as it seems to have some typos. Assuming the equation should be -1/2x + 4(x + 5/2) = -1, we can proceed with the following steps:
- Distribute the 4 into the parentheses: -1/2x + 4*x + 4*(5/2) = -1.
- Simplify the equation: -1/2x + 4x + 10 = -1.
- Combine like terms: 3.5x + 10 = -1.
- Subtract 10 from both sides: 3.5x = -11.
- Divide both sides by 3.5 to isolate x: x = -11/3.5.
- Simplify the fraction if possible to find the value of x.
Therefore, after simplifying and isolating the variable, we find the solution for x.