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Simplifying -0.5(x + -2) = -2 + -1x(-4) Reorder the terms: -0.5(-2 + x) = -2 + -1x(-4) (-2 * -0.5 + x * -0.5) = -2 + -1x(-4) (1 + -0.5x) = -2 + -1x(-4) Reorder the terms for easier multiplication: 1 + -0.5x = -2 + -1 * -4x Multiply -1 * -4 1 + -0.5x = -2 + 4x Solving 1 + -0.5x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -0.5x + -4x = -2 + 4x + -4x Combine like terms: -0.5x + -4x = -4.5x 1 + -4.5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -4.5x = -2 + 0 1 + -4.5x = -2 Add '-1' to each side of the equation. 1 + -1 + -4.5x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -4.5x = -2 + -1 -4.5x = -2 + -1 Combine like terms: -2 + -1 = -3 -4.5x = -3 Divide each side by '-4.5'. x = 0.6666666667 Simplifying x = 0.6666666667
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