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Factoring requires you to reduce as much as possible. To factor 7x + 49, you remove the common factor of 7x and 49, which is 7, and multiply (7x + 49)/7 (which is x + 7) by 7, without actually simplifying.
7x + 49 = 7(x + 7)
Then, if possible, do the same thing until it cannot be further factored.
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