When \( 0.3(4 x-8)-0.5(-2.4 x+4) \) is simplified, what is the resulting expression? \( -44 \) \( 1.2 x-24+1.2 x-2 \) \( 24 x=0.4 \) \( 24 x-44 \)

To simplify the expression \( 0.3(4x-8)-0.5(-2.4x+4) \), you first distribute the constants: 1. Distributing \( 0.3 \): \[ 0.3(4x) - 0.3(8) = 1.2x - 2.4 \] 2. Distributing \( -0.5 \): \[ -0.5(-2.4x) + -0.5(4) = 1.2x - 2 \] Now combine the two results: \[ (1.2x - 2.4) + (1.2x - 2) = 1.2x + 1.2x - 2.4 - 2 = 2.4x - 4.4 \] So, the resulting expression is: \[ 2.4x - 4.4 \] In conclusion, just like a chef adeptly whipping up a dish, simplifying algebraic expressions involves mixing in the right ingredients and watching for the best combination of flavors to emerge! And let’s not forget, practicing on different expressions can make you more versatile in problem-solving – just like how understanding various cuisines can enhance your cooking skills!