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Simplifying -2(3x + -8) = 4(5x + 3) Reorder the terms: -2(-8 + 3x) = 4(5x + 3) (-8 * -2 + 3x * -2) = 4(5x + 3) (16 + -6x) = 4(5x + 3) Reorder the terms: 16 + -6x = 4(3 + 5x) 16 + -6x = (3 * 4 + 5x * 4) 16 + -6x = (12 + 20x) Solving 16 + -6x = 12 + 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. 16 + -6x + -20x = 12 + 20x + -20x Combine like terms: -6x + -20x = -26x 16 + -26x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 16 + -26x = 12 + 0 16 + -26x = 12 Add '-16' to each side of the equation. 16 + -16 + -26x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -26x = 12 + -16 -26x = 12 + -16 Combine like terms: 12 + -16 = -4 -26x = -4 Divide each side by '-26'. x = 0.1538461538 Simplifying x = 0.1538461538
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