To solve the equation \( 4(3x + 2) + 3 = 35 \), follow these steps:
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Distribute the 4 to the terms inside the parentheses: \[ 4 \cdot 3x + 4 \cdot 2 + 3 = 35 \] This simplifies to: \[ 12x + 8 + 3 = 35 \]
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Combine like terms on the left side: \[ 12x + 11 = 35 \]
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Subtract 11 from both sides to isolate the term with \( x \): \[ 12x = 35 - 11 \] \[ 12x = 24 \]
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Divide both sides by 12 to solve for \( x \): \[ x = \frac{24}{12} = 2 \]
Therefore, the solution is: \[ \boxed{2} \]
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