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Simplifying 0.3(15x + -18) = -0.25(24 + -20x) Reorder the terms: 0.3(-18 + 15x) = -0.25(24 + -20x) (-18 * 0.3 + 15x * 0.3) = -0.25(24 + -20x) (-5.4 + 4.5x) = -0.25(24 + -20x) -5.4 + 4.5x = (24 * -0.25 + -20x * -0.25) -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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