To simplify the expression \((17x - 29y) + (32x + 56y)\), we will combine like terms.
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Group the \(x\) terms together: \[ 17x + 32x \]
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Group the \(y\) terms together: \[ -29y + 56y \]
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Now, simplify each group:
- For the \(x\) terms: \[ 17x + 32x = 49x \]
- For the \(y\) terms: \[ -29y + 56y = 27y \]
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Combine the results: \[ 49x + 27y \]
Thus, the simplified expression is \(\boxed{49x + 27y}\).