To solve the equation \( 3(2x + 5) = 33 \), follow these steps:
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Distribute the 3 on the left side: \[ 3 \cdot 2x + 3 \cdot 5 = 33 \] This simplifies to: \[ 6x + 15 = 33 \]
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Subtract 15 from both sides: \[ 6x + 15 - 15 = 33 - 15 \] This simplifies to: \[ 6x = 18 \]
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Divide both sides by 6: \[ x = \frac{18}{6} \] Therefore: \[ x = 3 \]
The solution is \( x = 3 \).