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Simplifying 0.3(15x + 18) = 0.5(10x + 12) Reorder the terms: 0.3(18 + 15x) = 0.5(10x + 12) (18 * 0.3 + 15x * 0.3) = 0.5(10x + 12) (5.4 + 4.5x) = 0.5(10x + 12) Reorder the terms: 5.4 + 4.5x = 0.5(12 + 10x) 5.4 + 4.5x = (12 * 0.5 + 10x * 0.5) 5.4 + 4.5x = (6 + 5x) Solving 5.4 + 4.5x = 6 + 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. 5.4 + 4.5x + -5x = 6 + 5x + -5x Combine like terms: 4.5x + -5x = -0.5x 5.4 + -0.5x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 5.4 + -0.5x = 6 + 0 5.4 + -0.5x = 6 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -0.5x = 6 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -0.5x = 6 + -5.4 -0.5x = 6 + -5.4 Combine like terms: 6 + -5.4 = 0.6 -0.5x = 0.6 Divide each side by '-0.5'. x = -1.2 Simplifying x = -1.2
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