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Simplifying 15x + 24(x + -5) = 465 Reorder the terms: 15x + 24(-5 + x) = 465 15x + (-5 * 24 + x * 24) = 465 15x + (-120 + 24x) = 465 Reorder the terms: -120 + 15x + 24x = 465 Combine like terms: 15x + 24x = 39x -120 + 39x = 465 Solving -120 + 39x = 465 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 39x = 465 + 120 Combine like terms: -120 + 120 = 0 0 + 39x = 465 + 120 39x = 465 + 120 Combine like terms: 465 + 120 = 585 39x = 585 Divide each side by '39'. x = 15 Simplifying x = 15
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