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Simplifying 0.5(4x + -6) = 0.25(12 + -12x) Reorder the terms: 0.5(-6 + 4x) = 0.25(12 + -12x) (-6 * 0.5 + 4x * 0.5) = 0.25(12 + -12x) (-3 + 2x) = 0.25(12 + -12x) -3 + 2x = (12 * 0.25 + -12x * 0.25) -3 + 2x = (3 + -3x) Solving -3 + 2x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -3 + 2x + 3x = 3 + -3x + 3x Combine like terms: 2x + 3x = 5x -3 + 5x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 5x = 3 + 0 -3 + 5x = 3 Add '3' to each side of the equation. -3 + 3 + 5x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 3 + 3 5x = 3 + 3 Combine like terms: 3 + 3 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2
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