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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

1 answer

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:

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

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

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

  1. Now combine the two parts:

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

  1. Combine like terms:

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

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

  1. The simplified expression is:

\[ -69.19x + 38.2 \]

Thus, the answer is:

−69.19x + 38.2