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Simplify the expression.

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

−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
negative 69 point 1 9 x plus 38 point 2

−72.2x+41.21

1 answer

To simplify the expression \(-9.2(8x - 4) + 0.7(2 + 6.3x)\), we can start by distributing the values outside of the parentheses:

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

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

Now we combine the two results:

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

Next, combine like terms:

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

  • For the constant terms: \[ 36.8 + 1.4 = 38.2 \]

Putting it all together, the simplified expression is:

\[ -69.19x + 38.2 \]

Thus, the correct response is: \(-69.19x + 38.2\)