To rewrite the left side of the equation \( \frac{1}{4}(24x + 36) = 3(2x + 3) \) without parentheses, we can distribute \( \frac{1}{4} \) to both terms inside the parentheses. Let's do that step by step.
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Distributing \( \frac{1}{4} \): \[ \frac{1}{4}(24x) + \frac{1}{4}(36) = 6x + 9 \] So we can rewrite the left side as \( 6x + 9 \).
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The equation now looks like this: \[ 6x + 9 = 3(2x + 3) \]
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Next, we can distribute \( 3 \) on the right side: \[ 3(2x) + 3(3) = 6x + 9 \]
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The equation simplifies to: \[ 6x + 9 = 6x + 9 \]
At this point, both sides of the equation are equal, and it indicates that they are equivalent for all \( x \). Thus, there’s no unique solution isolating \( x \) because every \( x \) satisfies the equation.
Let me know if you need further assistance or if you would like to explore a different problem!