To solve the equation \(3x + 7 = 22\), follow these steps:
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Subtract 7 from both sides: \[ 3x + 7 - 7 = 22 - 7 \] Simplifying this gives: \[ 3x = 15 \]
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Now, divide both sides by 3: \[ x = \frac{15}{3} \] Simplifying this gives: \[ x = 5 \]
Thus, the solution is \(x = 5\).