Question

Add: 12(x+4)+14(4x−2)
. Answer should be in mixed number form.(1 point)

Answer 1

To simplify the expression \(12(x+4) + 14(4x-2)\), let's first distribute the terms in each part of the expression.

1. Distributing \(12\) in \(12(x + 4)\):
\[
12(x + 4) = 12x + 48
\]

2. Distributing \(14\) in \(14(4x - 2)\):
\[
14(4x - 2) = 56x - 28
\]

Now, combine the results:
\[
12x + 48 + 56x - 28
\]

Next, combine like terms:
- Combine the \(x\) terms: \(12x + 56x = 68x\)
- Combine the constant terms: \(48 - 28 = 20\)

Putting it all together:
\[
68x + 20
\]

To express \(20\) as a mixed number, it is already a whole number and can be considered as \(20\) or \(20\frac{0}{1}\) if you wish to maintain mixed number form.

Thus, the final answer is:
\[
68x + 20
\] or just \(20\) as a mixed number.