To solve the equation \( 5x - 14 = 21 \), we will isolate \( x \) step by step.
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Add 14 to both sides: \[ 5x = 21 + 14 \] This simplifies to: \[ 5x = 35 \]
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Now, divide both sides by 5: \[ x = \frac{35}{5} \] This simplifies to: \[ x = 7 \]
Therefore, the solution is \( x = 7 \).