To simplify the expression \((14x + 6y) + (5x + 12y)\), you need to combine like terms.
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Combine the \(x\) terms: \[ 14x + 5x = 19x \]
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Combine the \(y\) terms: \[ 6y + 12y = 18y \]
So, the simplified expression is: \[ 19x + 18y \]
Thus, the coefficients are:
__ 19 __ x + __ 18 __ y