To solve the equation \(3x + 2x - 6 = 24\), follow these steps:
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Combine like terms on the left side: \[ 3x + 2x = 5x \quad \text{so the equation becomes} \quad 5x - 6 = 24. \]
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Add 6 to both sides: \[ 5x - 6 + 6 = 24 + 6 \quad \Rightarrow \quad 5x = 30. \]
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Divide each side by 5: \[ x = \frac{30}{5} \quad \Rightarrow \quad x = 6. \]
Thus, the solution to the equation is \(x = 6\).