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Simplifying -0.5(x + 2) = 0.2(20x + -10) Reorder the terms: -0.5(2 + x) = 0.2(20x + -10) (2 * -0.5 + x * -0.5) = 0.2(20x + -10) (-1 + -0.5x) = 0.2(20x + -10) Reorder the terms: -1 + -0.5x = 0.2(-10 + 20x) -1 + -0.5x = (-10 * 0.2 + 20x * 0.2) -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 = -1 -4.5x = -1 Divide each side by '-4.5'. x = 0.2222222222 Simplifying x = 0.2222222222
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