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Solve for x

in the equation 10.25(x−4.4)=69.7
.(1 point)
Responses

6.8
6.8

63.85
63.85

11.2
11.2

2.4

1 answer

To solve the equation \( 10.25(x - 4.4) = 69.7 \), follow these steps:

  1. Divide both sides by 10.25:

    \[ x - 4.4 = \frac{69.7}{10.25} \]

  2. Calculate \( \frac{69.7}{10.25} \):

    \[ \frac{69.7}{10.25} \approx 6.8 \]

  3. Now, substitute back into the equation:

    \[ x - 4.4 = 6.8 \]

  4. Add 4.4 to both sides:

    \[ x = 6.8 + 4.4 \]

  5. Calculate \( 6.8 + 4.4 \):

    \[ x = 11.2 \]

So, the solution is:

\[ \boxed{11.2} \]