To simplify the expression 4[12-3(8-5)]-1, the correct order of operations must be followed, starting with the innermost parentheses. The expression simplifies to 4[12 - 3(3)] - 1, which further simplifies to 4[3] - 1, resulting in 12 - 1 = 11. For the second expression, 5x-3{2x-2[x-2(1-x)]}, the same principles apply, requiring careful handling of parentheses and operations. The discussion emphasizes the importance of correctly applying the order of operations to achieve accurate simplification. Properly simplifying these algebraic expressions is crucial for solving related problems effectively.