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

(12x + 4y) + (5x + 12y)
__ x+ __ y

1 answer

To simplify the expression \((12x + 4y) + (5x + 12y)\), we can combine like terms.

  1. Combine the \(x\) terms: \[ 12x + 5x = 17x \]

  2. Combine the \(y\) terms: \[ 4y + 12y = 16y \]

Putting it all together, we have: \[ (12x + 4y) + (5x + 12y) = 17x + 16y \]

So the expression can be filled in as: \[ 17 \quad \text{and} \quad 16 \]

Thus, the final answer is: 17 x + 16 y.