To solve the equation \( 7(4x - 15) = 63 \), follow these steps:
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Distribute the 7: \[ 28x - 105 = 63 \]
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Add 105 to both sides: \[ 28x - 105 + 105 = 63 + 105 \] \[ 28x = 168 \]
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Divide both sides by 28: \[ x = \frac{168}{28} \] \[ x = 6 \]
So the solution is: \[ \boxed{6} \]