X. \( 11 x-8=63 \)

To solve the equation \( 11x - 8 = 63 \), you first want to isolate the variable. Start by adding 8 to both sides: \( 11x = 63 + 8 \), which simplifies to \( 11x = 71 \). Then, divide both sides by 11 to find \( x = \frac{71}{11} \), which is approximately 6.45. Now that we have our solution, let’s think about where we can apply this! Understanding how to manipulate equations like this is crucial in various fields such as engineering and economics. They often use algebra to model and solve real-world problems, like budgeting or optimizing resources. So, when you're crunching numbers, remember that these equations are your friends!