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Question
The equation −2.4x−1.1=3.7
is solved as follows. Enter the correct numbers to complete the solution.(2 points)
−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

Let's solve the equation step by step.

  1. Start with the equation: \[ -2.4x - 1.1 = 3.7 \]

  2. Add \(1.1\) to both sides of the equation: \[ -2.4x = 3.7 + 1.1 \] So: \[ 3.7 + 1.1 = 4.8 \] Therefore, we have: \[ -2.4x = 4.8 \]

  3. Now, divide both sides by \(-2.4\): \[ x = \frac{4.8}{-2.4} \] Calculating the division gives: \[ x = -2 \]

So, filling in the blanks:

  • The first blank after \(-2.4x=\) is \(4.8\).
  • The value of \(x\) is \(-2\).

Thus the completed solution is:

\[ -2.4x = 4.8 \]

\[ x = -2 \]