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Simplifying 6(12 + 2.5x) = -5x + 24 (12 * 6 + 2.5x * 6) = -5x + 24 (72 + 15x) = -5x + 24 Reorder the terms: 72 + 15x = 24 + -5x Solving 72 + 15x = 24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 72 + 15x + 5x = 24 + -5x + 5x Combine like terms: 15x + 5x = 20x 72 + 20x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 72 + 20x = 24 + 0 72 + 20x = 24 Add '-72' to each side of the equation. 72 + -72 + 20x = 24 + -72 Combine like terms: 72 + -72 = 0 0 + 20x = 24 + -72 20x = 24 + -72 Combine like terms: 24 + -72 = -48 20x = -48 Divide each side by '20'. x = -2.4 Simplifying x = -2.4
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