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If \( x \cdot (x + y) = 72 \) and \( x + y = 12 \), what is the value of \( x \)?
From \( x + y = 12 \), solve for \( y \):
y = 12 - x
x(x + (12 - x)) = 72
x(12) = 72
12x = 72 \quad \Rightarrow \quad x = 6
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