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Simplifying 15x + 30(x + -4) = 465 Reorder the terms: 15x + 30(-4 + x) = 465 15x + (-4 * 30 + x * 30) = 465 15x + (-120 + 30x) = 465 Reorder the terms: -120 + 15x + 30x = 465 Combine like terms: 15x + 30x = 45x -120 + 45x = 465 Solving -120 + 45x = 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 + 45x = 465 + 120 Combine like terms: -120 + 120 = 0 0 + 45x = 465 + 120 45x = 465 + 120 Combine like terms: 465 + 120 = 585 45x = 585 Divide each side by '45'. x = 13 Simplifying x = 13
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