To solve the equation \(3x - 7 = 17\), follow these steps:
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Add 7 to both sides of the equation: \[ 3x - 7 + 7 = 17 + 7 \] which simplifies to: \[ 3x = 24 \]
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Now, divide both sides by 3: \[ \frac{3x}{3} = \frac{24}{3} \] which simplifies to: \[ x = 8 \]
So, the solution is \(x = 8\).