Fill in the blanks with the correct coefficients when simplifying the expression.

To simplify the expression \((14x + 6y) + (5x + 12y)\), we first combine the coefficients of like terms.

1. Combine the \(x\) terms: \[ 14x + 5x = 19x \]

2. Combine the \(y\) terms: \[ 6y + 12y = 18y \]

Putting it all together, we have: \[ 19x + 18y \]

Thus, the coefficients are: \[ 19 \text{ (for } x\text{)} \quad \text{and} \quad 18 \text{ (for } y\text{)} \]

So the final answer is: \[ 19 \quad \text{and} \quad 18 \]