To solve the inequality \( 5x + 3 > 33 \), follow these steps:
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Subtract 3 from both sides: \[ 5x + 3 - 3 > 33 - 3 \] This simplifies to: \[ 5x > 30 \]
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Divide both sides by 5: \[ \frac{5x}{5} > \frac{30}{5} \] This simplifies to: \[ x > 6 \]
Therefore, the solution to the inequality \( 5x + 3 > 33 \) is: \[ x > 6 \]