Iko's rectangular vegetable garden is $$\(2 x \mathrm{~m}\)$$ wide and $$\(3 x \mathrm{~m}\)$$ long. She wants to plant flowers to form a border of uniform width around the vegetable garden, and measures that the border will cover $$\(14 x^{2} m^{2}\)$$. How wide is the border of flowers going to be?

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