To determine whether the expressions \(3 + (4x + 1)\) and \(4 - 4x\) are equivalent, let's simplify the first expression:
- Start with \(3 + (4x + 1)\).
- Distributing and combining like terms, we get: \[ 3 + 4x + 1 = 4 + 4x \]
Now we have \(4 + 4x\) and need to compare this to \(4 - 4x\).
Clearly, \(4 + 4x\) is not equivalent to \(4 - 4x\).
Therefore, the correct response is:
No, they are not because \(3 + (4x + 1)\) simplifies to \(4 + 4x\), which is not equivalent to \(4 - 4x\).