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When you add 18 to 1/4 of a number you get the number itself

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x - the number

[tex]\frac{1}{4}x+18=x \\ 18=x-\frac{1}{4}x \\ 18=\frac{3}{4}x \ \ \ |\times \frac{4}{3} \\ 18 \times \frac{4}{3} = x \\ 6 \times 4=x \\ x=24[/tex]

The number is 24.
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