Simplify. 3 [8(x-2)+5]-[4(2x+2)-11] 24x+42 -42 24x-42 -24

To simplify the expression \(3\{[8(x-2)+5]-[4(2x+2)-11]\}\), we will follow these steps:<br /><br />1. Simplify inside the brackets \([8(x-2) + 5]\):<br /> \[<br /> 8(x-2) = 8x - 16<br /> \]<br /> So, <br /> \[<br /> 8(x-2) + 5 = 8x - 16 + 5 = 8x - 11<br /> \]<br /><br />2. Simplify inside the brackets \([4(2x+2) - 11]\):<br /> \[<br /> 4(2x+2) = 8x + 8<br /> \]<br /> So,<br /> \[<br /> 4(2x+2) - 11 = 8x + 8 - 11 = 8x - 3<br /> \]<br /><br />3. Substitute back into the main expression:<br /> \[<br /> 3\{[8x - 11] - [8x - 3]\}<br /> \]<br /><br />4. Simplify the expression inside the curly braces:<br /> \[<br /> [8x - 11] - [8x - 3] = 8x - 11 - 8x + 3 = -11 + 3 = -8<br /> \]<br /><br />5. Multiply by 3:<br /> \[<br /> 3(-8) = -24<br /> \]<br /><br />Thus, the simplified expression is \(-24\).<br /><br />The correct answer is:<br />\(-24\)