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Simplifying -2(3x + -4) = 4(2x + 5) Reorder the terms: -2(-4 + 3x) = 4(2x + 5) (-4 * -2 + 3x * -2) = 4(2x + 5) (8 + -6x) = 4(2x + 5) Reorder the terms: 8 + -6x = 4(5 + 2x) 8 + -6x = (5 * 4 + 2x * 4) 8 + -6x = (20 + 8x) Solving 8 + -6x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + -6x + -8x = 20 + 8x + -8x Combine like terms: -6x + -8x = -14x 8 + -14x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -14x = 20 + 0 8 + -14x = 20 Add '-8' to each side of the equation. 8 + -8 + -14x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 20 + -8 -14x = 20 + -8 Combine like terms: 20 + -8 = 12 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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