Simplify \( 8+3\{x-2[x+5(x+3)]\} \) \( 33 x-82 \) \( -33 x+82 \) \( -33 x-82 \)

Let's simplify the expression step by step. The expression to simplify is: 8 + 3{x - 2[x + 5(x + 3)]} Step 1. Simplify inside the inner brackets: Inside the square brackets, we have: x + 5(x + 3) Distribute the 5: = x + 5x + 15 Combine like terms: = 6x + 15 Step 2. Substitute back into the expression: Now, the expression becomes: 8 + 3{x - 2(6x + 15)} Step 3. Distribute the -2 inside the curly brackets: Multiply -2 with (6x + 15): = -12x - 30 So inside the curly brackets we get: x - 12x - 30 = -11x - 30 Step 4. Multiply by 3 and then add 8: Now, multiply by 3: 3(-11x - 30) = -33x - 90 Then add the 8: 8 - 33x - 90 = -33x - 82 Thus, the expression simplifies to: -33x - 82 Comparing with the provided options, the correct answer is: -33 x -82