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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.

1 answer

To solve the equation \(-2.4x - 1.1 = 3.7\), let's complete the steps specified.

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

  2. Add \(1.1\) to both sides of the equation to isolate the term with \(x\): \[ -2.4x = 3.7 + 1.1 \]

    Calculating the right side gives: \[ -2.4x = 4.8 \]

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

    Calculating this division gives: \[ x = -2 \]

So, the completed solution with the numbers filled in is:

\[ -2.4x - 1.1 = 3.7 \] \[ -2.4x = 4.8 \] \[ x = -2 \]