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