To determine which equation has a solution of negative 7, we will substitute \( x = -7 \) into each equation and see if the equation holds true.
A. \(-3(-7) - 8 = -29\)
\[ 21 - 8 = -29 \implies 13 \neq -29 \quad \text{(not a solution)} \]
B. \(4(-7) - 23 = 5\)
\[ -28 - 23 = 5 \implies -51 \neq 5 \quad \text{(not a solution)} \]
C. \(-(-7) + 3 = -4\)
\[ 7 + 3 = -4 \implies 10 \neq -4 \quad \text{(not a solution)} \]
D. \(5(-7) + 11 = -24\)
\[ -35 + 11 = -24 \implies -24 = -24 \quad \text{(is a solution)} \]
The equation that has a solution of negative 7 is D. \( 5x + 11 = -24\).
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