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Simplifying -0.5(-2x + 4) = 2.5x Reorder the terms: -0.5(4 + -2x) = 2.5x (4 * -0.5 + -2x * -0.5) = 2.5x (-2 + 1x) = 2.5x Solving -2 + 1x = 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -2 + 1x + -2.5x = 2.5x + -2.5x Combine like terms: 1x + -2.5x = -1.5x -2 + -1.5x = 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -2 + -1.5x = 0.0 Add '2' to each side of the equation. -2 + 2 + -1.5x = 0.0 + 2 Combine like terms: -2 + 2 = 0 0 + -1.5x = 0.0 + 2 -1.5x = 0.0 + 2 Combine like terms: 0.0 + 2 = 2 -1.5x = 2 Divide each side by '-1.5'. x = -1.333333333 Simplifying x = -1.333333333
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