Question

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:
\(-69.19x + 38.2\)