(i) Find the value of `a = [{x}] + [{-x}] + {[x]} + {[-x]} + {x} + {-x}`
(ii) Solve the equation `2x = [x] + {x}`

Explanation

To solve the given problem step by step, we will break it down into two parts as specified in the question.

### Part (i): Find the value of \( a = [x] + [-x] + \{x\} + \{-x\} + x + (-x) \)

1. **Understanding the Notation**:
- Here, \([x]\) denotes the greatest integer less than or equal to \(x\) (floor function).
- \(\{x\} = x - [x]\) is the fractional part of \(x\).
- \([-x]\) is the greatest integer less than or equal to \(-x\).
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