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Would This Be Correct?

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Yes
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Exactly.
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Yes, good job!
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It is, nice work!
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Yes it is correct, however.

WHY do you think it is? What reasoning are you using to conjecture that that general case is always true? And the reason I ask is actually a VERY common problem that comes up among math learners, and that is believing that a pattern that they find is true.....pretty much just because. Don't get me wrong; math is all about recognizing patterns and formalizing them, and in that I think you have succeeded. But that's not enough; once you have what you think is a pattern, you want to be able to say WHY it's a pattern, and how you KNOW it always holds, or if it doesn't always hold, WHEN it holds.

In this case, it's real easy: you can multiply X on the Left Hand Side by 10/10 (since 10/10 = 1), note the common denominator, and add. And for something as simple as this, that sure feels like a hoop I'm just trying to make you jump through. But when the patterns get more complex and subtle, it'll get harder, but also more necessary, because your everyday intuitive pattern-matching won't cut it anymore.
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yes, thats how fractions work
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Yeah, X = 2X/2 = 3X/3 = 10X/10 etc
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I love that you used an example to help convince yourself that it's correct. Well done!

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