To solve the equation \( 7(x - 9) = -21 \), follow these steps:
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Distribute the 7 on the left side: \[ 7x - 63 = -21 \]
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Add 63 to both sides: \[ 7x - 63 + 63 = -21 + 63 \] \[ 7x = 42 \]
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Divide both sides by 7: \[ x = \frac{42}{7} \] \[ x = 6 \]
Thus, the solution to the equation is \( x = 6 \).