For any real number x prove that ![[x] +[x+\frac{1}{2} ]=[2x]](https://tex.z-dn.net/?f=%5Bx%5D+%2B%5Bx%2B%5Cfrac%7B1%7D%7B2%7D+%5D%3D%5B2x%5D "[x] +[x+\frac{1}{2} ]=[2x]")
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