1. For the equation (27 - 4x) = 10 - 3x: Firstly, add 4x to both sides to simplify the x terms: 27 = 10 + x. Then subtract 10 from both sides to isolate x: 17 = x. Thus, x = 17. 2. For the equation (9x - 5) = -2x + 8: Add 2x to both sides to combine the x terms: 11x - 5 = 8. Then add 5 to both sides to simplify: 11x = 13. Finally, divide by 11: x = 13/11.