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------------------------------------------------ Which equation, when solved, results in a different value of [tex]$x$[/tex] than the other three?

A. [tex]8.3 = -0.6x + 11.3[/tex]
B. [tex]11.3 = 8.3 + 0.6x[/tex]
C. [tex]11.3 - 0.6x = 8.3[/tex]
D. [tex]8.3 - 0.6x = 11.3[/tex]

To determine which equation results in a different value of [tex]$ x $[/tex] from the others, let's solve each equation step by step:

1. Equation 1: [tex]$ 8.3 = -0.6x + 11.3 $[/tex]

- Subtract 11.3 from both sides:
[tex]\[
8.3 - 11.3 = -0.6x
\][/tex]
[tex]\[
-3 = -0.6x
\][/tex]
- Divide both sides by [tex]$-0.6$[/tex]:
[tex]\[
x = \frac{-3}{-0.6} = 5
\][/tex]

2. Equation 2: [tex]$ 11.3 = 8.3 + 0.6x $[/tex]

- Subtract 8.3 from both sides:
[tex]\[
11.3 - 8.3 = 0.6x
\][/tex]
[tex]\[
3 = 0.6x
\][/tex]
- Divide both sides by [tex]$0.6$[/tex]:
[tex]\[
x = \frac{3}{0.6} = 5
\][/tex]

3. Equation 3: [tex]$ 11.3 - 0.6x = 8.3 $[/tex]

- Subtract 8.3 from both sides:
[tex]\[
11.3 - 8.3 = 0.6x
\][/tex]
[tex]\[
3 = 0.6x
\][/tex]
- Divide both sides by [tex]$0.6$[/tex]:
[tex]\[
x = \frac{3}{0.6} = 5
\][/tex]

4. Equation 4: [tex]$ 8.3 - 0.6x = 11.3 $[/tex]

- Subtract 8.3 from both sides:
[tex]\[
8.3 - 8.3 - 0.6x = 11.3 - 8.3
\][/tex]
[tex]\[
-0.6x = 3
\][/tex]
- Divide both sides by [tex]$-0.6$[/tex]:
[tex]\[
x = \frac{3}{-0.6} = -5
\][/tex]

After solving these equations, we can see that:

- Equations 1, 2, and 3 all yield [tex]$ x = 5 $[/tex].
- Equation 4 yields [tex]$ x = -5 $[/tex].

Thus, the equation that results in a different value for [tex]$ x $[/tex] is Equation 1: [tex]$ 8.3 = -0.6x + 11.3 $[/tex].