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[tex] - 1 + 14x = 12x + 17[/tex]
[tex]14x - 1 = 12x + 17[/tex]
Add sides 1
[tex]14x - 1 + 1 =12x + 17 + 1[/tex]
[tex]14x = 12x + 18[/tex]
Subtract sides 12x
[tex] - 12x + 14x = - 12x + 12x + 18 \\ [/tex]
[tex]2x = 18[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]
[tex]x = 9[/tex]
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CHECK :
[tex]14(9) - 1 = 12(9) + 17[/tex]
[tex]126 - 1 = 108 + 17[/tex]
[tex]125 = 125[/tex]
Thus the solution is correct .
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