To simplify the expression \(2x + 2x + 4x + 3 + 4x + 3\), follow these steps:
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Combine like terms (the \(x\) terms and the constant terms):
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Combine the \(x\) terms: \[ 2x + 2x + 4x + 4x = (2x + 2x) + (4x + 4x) = 4x + 8x = 12x \]
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Combine the constant terms: \[ 3 + 3 = 6 \]
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Put it all together:
\[ 12x + 6 \]
Thus, the simplified expression is \(12x + 6\).