Simplify the expression. −9.2(8x−4)+0.7(2+6.3x) (1 point) Responses −72.2x+41.21 negative 72 point 2 x plus 41 point 2 1 −69.19x−32.39 negative 69 point 1 9 x minus 32 point 3 9 75x−338.2 75 x minus 338 point 2 −69.19x+38.2

Answer 1

To simplify the expression \( -9.2(8x - 4) + 0.7(2 + 6.3x) \), we will first distribute the terms:

1. Distributing \( -9.2 \) across \( (8x - 4) \): \[ -9.2 \cdot 8x + -9.2 \cdot -4 = -73.6x + 36.8 \]

2. Distributing \( 0.7 \) across \( (2 + 6.3x) \): \[ 0.7 \cdot 2 + 0.7 \cdot 6.3x = 1.4 + 4.41x \]

Now, we combine the results: \[ -73.6x + 36.8 + 1.4 + 4.41x \]

Next, combine the \( x \) terms: \[ -73.6x + 4.41x = -69.19x \]

And combine the constant terms: \[ 36.8 + 1.4 = 38.2 \]

Putting it all together, we get: \[ -69.19x + 38.2 \]

Therefore, the simplified expression is: \[ -69.19x + 38.2 \]

So the correct answer from the provided responses is: \(-69.19x + 38.2\)