To solve the equation \( 7(4x - 15) = 63 \), follow these steps:
- First, divide both sides by 7 to simplify:
\[ 4x - 15 = \frac{63}{7} \]
This simplifies to:
\[ 4x - 15 = 9 \]
- Next, add 15 to both sides to isolate the term with \( x \):
\[ 4x = 9 + 15 \]
This simplifies to:
\[ 4x = 24 \]
- Finally, divide both sides by 4 to solve for \( x \):
\[ x = \frac{24}{4} \]
This simplifies to:
\[ x = 6 \]
Thus, the solution is
\[ \boxed{6} \]
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