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Simplifying -2(3 + -2x) = 4(2 + -5x) (3 * -2 + -2x * -2) = 4(2 + -5x) (-6 + 4x) = 4(2 + -5x) -6 + 4x = (2 * 4 + -5x * 4) -6 + 4x = (8 + -20x) Solving -6 + 4x = 8 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -6 + 4x + 20x = 8 + -20x + 20x Combine like terms: 4x + 20x = 24x -6 + 24x = 8 + -20x + 20x Combine like terms: -20x + 20x = 0 -6 + 24x = 8 + 0 -6 + 24x = 8 Add '6' to each side of the equation. -6 + 6 + 24x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 24x = 8 + 6 24x = 8 + 6 Combine like terms: 8 + 6 = 14 24x = 14 Divide each side by '24'. x = 0.5833333333 Simplifying x = 0.5833333333
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