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Simplifying 1.5x + -0.5 = 0.25(2 + -6x) Reorder the terms: -0.5 + 1.5x = 0.25(2 + -6x) -0.5 + 1.5x = (2 * 0.25 + -6x * 0.25) -0.5 + 1.5x = (0.5 + -1.5x) Solving -0.5 + 1.5x = 0.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -0.5 + 1.5x + 1.5x = 0.5 + -1.5x + 1.5x Combine like terms: 1.5x + 1.5x = 3x -0.5 + 3x = 0.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -0.5 + 3x = 0.5 + 0.0 -0.5 + 3x = 0.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + 3x = 0.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 3x = 0.5 + 0.5 3x = 0.5 + 0.5 Combine like terms: 0.5 + 0.5 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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