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Simplifying 0.5(2x + -6) = 0.25(8 + -12x) Reorder the terms: 0.5(-6 + 2x) = 0.25(8 + -12x) (-6 * 0.5 + 2x * 0.5) = 0.25(8 + -12x) (-3 + 1x) = 0.25(8 + -12x) -3 + 1x = (8 * 0.25 + -12x * 0.25) -3 + 1x = (2 + -3x) Solving -3 + 1x = 2 + -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 + 1x + 3x = 2 + -3x + 3x Combine like terms: 1x + 3x = 4x -3 + 4x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 4x = 2 + 0 -3 + 4x = 2 Add '3' to each side of the equation. -3 + 3 + 4x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 2 + 3 4x = 2 + 3 Combine like terms: 2 + 3 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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