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Simplifying 15x + 24(x + -4) = 489 Reorder the terms: 15x + 24(-4 + x) = 489 15x + (-4 * 24 + x * 24) = 489 15x + (-96 + 24x) = 489 Reorder the terms: -96 + 15x + 24x = 489 Combine like terms: 15x + 24x = 39x -96 + 39x = 489 Solving -96 + 39x = 489 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 39x = 489 + 96 Combine like terms: -96 + 96 = 0 0 + 39x = 489 + 96 39x = 489 + 96 Combine like terms: 489 + 96 = 585 39x = 585 Divide each side by '39'. x = 15 Simplifying x = 15
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