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Answer :
To determine which equation can be used to solve for [tex]x[/tex] and find its value, let's analyze the provided equations:
Option A: [tex]5x + 3 = 66[/tex]
Subtract 3 from both sides:
[tex]5x = 63[/tex]
Divide by 5:
[tex]x = \frac{63}{5} = 12.6[/tex]
Option B: [tex]12x = 66[/tex]
Divide by 12:
[tex]x = \frac{66}{12} = 5.5[/tex]
Option C: [tex]9x + 3 = 66[/tex]
Subtract 3 from both sides:
[tex]9x = 63[/tex]
Divide by 9:
[tex]x = \frac{63}{9} = 7[/tex]
Option D: [tex]8x = 66[/tex]
Divide by 8:
[tex]x = \frac{66}{8} = 8.25[/tex]
Based on the solutions obtained, if the objective is to find an integer value of [tex]x[/tex], option C provides the integer value.
Therefore, the correct choice to solve for [tex]x[/tex] is Option C: [tex]9x + 3 = 66[/tex], and the solution for [tex]x[/tex] is [tex]7[/tex].
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