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The equation −2.4x−1.1=3.7

is solved as follows. Enter the correct numbers to complete the solution.(1 point)
−2.4x−1.1=3.7

−2.4x=

Add 1.1 to both sides of the equation. If the answer is a decimal value, enter the decimal.

x=

Divide both sides of the equation by -2.4. If the answer is a decimal value, enter the decimal.

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1 answer

To solve the equation \(-2.4x - 1.1 = 3.7\), we will follow the steps outlined and fill in the missing numbers.

  1. Add \(1.1\) to both sides of the equation:

    \[ -2.4x = 3.7 + 1.1 \]

    Now calculate \(3.7 + 1.1\):

    \[ 3.7 + 1.1 = 4.8 \]

    Thus, we have:

    \[ -2.4x = 4.8 \]

  2. Divide both sides of the equation by \(-2.4\):

    \[ x = \frac{4.8}{-2.4} \]

    Now calculate \(\frac{4.8}{-2.4}\):

    \[ x = -2 \]

Final Answers:

  • The first blank is \(4.8\).
  • The second blank is \(-2\).

So, the completed equations are:

\[ -2.4x = 4.8 \] \[ x = -2 \]