Question

Simplify the expression.

−9.2(8x−4)+0.7(2+6.3x)
(1 point)
Responses

75x−338.2
75 x minus 338 point 2

−69.19x−32.39
negative 69 point 1 9 x minus 32 point 3 9

−69.19x+38.2
negative 69 point 1 9 x plus 38 point 2

−72.2x+41.21

Answer 1

To simplify the expression \(-9.2(8x - 4) + 0.7(2 + 6.3x)\), let's go through it step by step.

1. Distribute \(-9.2\) in the first term:

\[
-9.2 \cdot 8x + (-9.2) \cdot (-4) = -73.6x + 36.8
\]

2. Distribute \(0.7\) in the second term:

\[
0.7 \cdot 2 + 0.7 \cdot 6.3x = 1.4 + 4.41x
\]

3. Now combine the two parts:

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

4. Combine like terms:

- Combine the \(x\) terms:
\[
-73.6x + 4.41x = -69.19x
\]

- Combine the constant terms:
\[
36.8 + 1.4 = 38.2
\]

5. The simplified expression is:

\[
-69.19x + 38.2
\]

Thus, the answer is:

**−69.19x + 38.2**