To solve the inequality \( 8x + 4 \geq 52 \), follow these steps:
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Subtract 4 from both sides: \[ 8x \geq 52 - 4 \] \[ 8x \geq 48 \]
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Divide both sides by 8: \[ x \geq \frac{48}{8} \] \[ x \geq 6 \]
Thus, the solution to the inequality is: \[ x \geq 6 \]