VII. \( 8 x+6=54 \) VIII. \( 9 x-5=50 \) IX. \( 10 x+7=77 \) X. \( 11 x-8=63 \)

To tackle these equations, you can use simple algebraic techniques! Start by isolating \( x \) on one side. For example, in the first equation \( 8x + 6 = 54 \), subtract 6 from both sides to get \( 8x = 48 \), then divide by 8 to find \( x = 6 \). Repeat this process for the rest! When solving equations, a common mistake is misapplying operations. For instance, if you forget to balance both sides when removing a number or accidentally miscalculate during division, you might end up with the wrong answer. Always double-check your arithmetic, and consider redoing the problem in a slightly different way if things don’t add up!