To simplify the expression \(28x + 310y - 58x + 410y\), we will combine the like terms for \(x\) and \(y\) separately.
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Combine the \(x\) terms: \[ 28x - 58x = -30x \]
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Combine the \(y\) terms: \[ 310y + 410y = 720y \]
Now, putting it all together, we have: \[ -30x + 720y \]
The closest option given in your responses is: \(-38x + 710y\).
However, this does not accurately reflect the simplification I provided. Based on the calculation, the simplified expression is:
\(-30x + 720y\).
Double-check the options you have, as none of them match the correct simplification.