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: \[ -1 + 7 = 6 \]
Putting it all together, we get: \[ 7x + 8y + 6 \]
Thus, the simplified expression is: 7x + 8y + 6.