Simplify the expression.−9.2(8x−4)+0.7(2+6.3x) (1 point)Responses−72.2x+41.21negative 72 point 2 x plus 41 point 2 1−69.19x+38.2negative 69 point 1 9 x plus 38 point 275x−338.275 x minus 338 point 2−69.19x−32.39

Answer 1

Let's simplify the expression step-by-step:

\[ -9.2(8x - 4) + 0.7(2 + 6.3x) \]

First, distribute \(-9.2\) and \(0.7\) into their respective parentheses:

1. \( -9.2(8x) = -73.6x\)
2. \( -9.2(-4) = 36.8\)
3. \( 0.7(2) = 1.4\)
4. \( 0.7(6.3x) = 4.41x\)

Now, combine the results:

\[ -73.6x + 36.8 + 1.4 + 4.41x \]

Combine like terms:

1. For the \(x\) terms: \(-73.6x + 4.41x = -69.19x\)

2. For the constant terms: \(36.8 + 1.4 = 38.2\)

So, combining all together gives:

\[ -69.19x + 38.2 \]

Thus, the simplified expression is:

\[ \boxed{-69.19x + 38.2} \]