To rewrite the expression \( 41 \cdot (24x + 36) \) without parentheses and distribute \( 41 \) across the terms inside the parentheses, you perform the following steps:
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Distribute \( 41 \) to \( 24x \): \[ 41 \cdot 24x = 984x \]
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Distribute \( 41 \) to \( 36 \): \[ 41 \cdot 36 = 1476 \]
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Combine both results: \[ 41 \cdot (24x + 36) = 984x + 1476 \]
Now, you also have the expression on the right side of the equation, which is given as \( 3(2x + 3) \). If you want to rewrite this expression:
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Distribute \( 3 \) across \( 2x \): \[ 3 \cdot 2x = 6x \]
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Distribute \( 3 \) across \( 3 \): \[ 3 \cdot 3 = 9 \]
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Combine both results: \[ 3(2x + 3) = 6x + 9 \]
Now you have two expressions:
- Left side: \( 984x + 1476 \)
- Right side: \( 6x + 9 \)
If you want to set these two expressions equal to each other: \[ 984x + 1476 = 6x + 9 \]
If you were solving for \( x \), you can rearrange and solve this equation accordingly.
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