To simplify the expression \( 3x + 2x - 6 + 7x + 11 - 12y \), we can combine like terms.
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Combine the \( x \) terms: \[ 3x + 2x + 7x = (3 + 2 + 7)x = 12x \]
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Combine the constant terms: \[ -6 + 11 = 5 \]
Putting it all together, the expression simplifies to: \[ 12x + 5 - 12y \]
So, the final simplified expression is: \[ 12x - 12y + 5 \]