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Simplifying -2(3x + -2) = 4(5x + -1) + 8 Reorder the terms: -2(-2 + 3x) = 4(5x + -1) + 8 (-2 * -2 + 3x * -2) = 4(5x + -1) + 8 (4 + -6x) = 4(5x + -1) + 8 Reorder the terms: 4 + -6x = 4(-1 + 5x) + 8 4 + -6x = (-1 * 4 + 5x * 4) + 8 4 + -6x = (-4 + 20x) + 8 Reorder the terms: 4 + -6x = -4 + 8 + 20x Combine like terms: -4 + 8 = 4 4 + -6x = 4 + 20x Add '-4' to each side of the equation. 4 + -4 + -6x = 4 + -4 + 20x Combine like terms: 4 + -4 = 0 0 + -6x = 4 + -4 + 20x -6x = 4 + -4 + 20x Combine like terms: 4 + -4 = 0 -6x = 0 + 20x -6x = 20x Solving -6x = 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. -6x + -20x = 20x + -20x Combine like terms: -6x + -20x = -26x -26x = 20x + -20x Combine like terms: 20x + -20x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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