Simplify these expressions and find their values if `x = 3, .
` `2- 8x + 4x + 4`

Answer

To simplify the expression \(2 - 8x + 4x + 4\) and find its value when \(x = 3\), we can follow these steps:

### Step 1: Write down the expression
The expression we need to simplify is:
\[ 2 - 8x + 4x + 4 \]

### Step 2: Combine like terms
First, we will combine the constant terms and the terms with \(x\):
- The constant terms are \(2\) and \(4\).
- The \(x\) terms are \(-8x\) and \(4x\).

So, we can rewrite the expression as:
\[ (2 + 4) + (-8x + 4x) \]

### Step 3: Calculate the combined terms
Now we calculate:
- \(2 + 4 = 6\)
- \(-8x + 4x = -4x\)

Thus, the simplified expression becomes:
\[ 6 - 4x \]

### Step 4: Substitute \(x = 3\)
Now, we substitute \(x\) with \(3\):
\[ 6 - 4(3) \]

### Step 5: Calculate the value
Now we calculate:
\[ 4(3) = 12 \]
So, the expression becomes:
\[ 6 - 12 \]

### Step 6: Final calculation
Finally, we calculate:
\[ 6 - 12 = -6 \]

### Conclusion
The value of the expression \(2 - 8x + 4x + 4\) when \(x = 3\) is:
\[ \boxed{-6} \]

---