To determine which expression is not equivalent to \(3x - 2\), let's simplify each of the provided expressions one by one.
1. **Expression:** \(2x + 2 + x\)
**Simplification:**
\(2x + x + 2 = 3x + 2\)
**Equivalent to:** \(3x + 2\)
2. **Expression:** \(4x - 4 - x + 2\)
**Simplification:**
\(4x - x - 4 + 2 = 3x - 2\)
**Equivalent to:** \(3x - 2\)
3. **Expression:** \(x + x - 1 - 1 + x\)
**Simplification:**
\(x + x + x - 1 - 1 = 3x - 2\)
**Equivalent to:** \(3x - 2\)
4. **Expression:** \(3 - x + 2x - 5 + 2x\)
**Simplification:**
\(3 - 5 + 2 - x + 2x = 0 + 3x - x = 3x - 2\)
**Equivalent to:** \(3x - 2\)
Now, we analyze the equivalent results:
- Expression 1 is \(3x + 2\) (not equivalent)
- Expression 2 is \(3x - 2\) (equivalent)
- Expression 3 is \(3x - 2\) (equivalent)
- Expression 4 is \(3x - 2\) (equivalent)
The expression that is **not equivalent** to \(3x - 2\) is:
**Response:** \(2x + 2 + x\) (which simplifies to \(3x + 2\))