To simplify the expression \( 2x + 11y - 1 + 5x - 3y + 7 \), we can combine like terms.
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Combine the \(x\) terms: \[ 2x + 5x = 7x \]
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Combine the \(y\) terms: \[ 11y - 3y = 8y \]
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Combine the constant terms: \[ -1 + 7 = 6 \]
Now, we can put it all together: \[ 7x + 8y + 6 \]
So, the simplified expression is: \[ \boxed{7x + 8y + 6} \]