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Simplifying 2(3x + 4) = -5(5x + -4) Reorder the terms: 2(4 + 3x) = -5(5x + -4) (4 * 2 + 3x * 2) = -5(5x + -4) (8 + 6x) = -5(5x + -4) Reorder the terms: 8 + 6x = -5(-4 + 5x) 8 + 6x = (-4 * -5 + 5x * -5) 8 + 6x = (20 + -25x) Solving 8 + 6x = 20 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 8 + 6x + 25x = 20 + -25x + 25x Combine like terms: 6x + 25x = 31x 8 + 31x = 20 + -25x + 25x Combine like terms: -25x + 25x = 0 8 + 31x = 20 + 0 8 + 31x = 20 Add '-8' to each side of the equation. 8 + -8 + 31x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 31x = 20 + -8 31x = 20 + -8 Combine like terms: 20 + -8 = 12 31x = 12 Divide each side by '31'. x = 0.3870967742 Simplifying x = 0.3870967742
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