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Simplifying 2(5 + -4x) = 3(4x + 5) (5 * 2 + -4x * 2) = 3(4x + 5) (10 + -8x) = 3(4x + 5) Reorder the terms: 10 + -8x = 3(5 + 4x) 10 + -8x = (5 * 3 + 4x * 3) 10 + -8x = (15 + 12x) Solving 10 + -8x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + -8x + -12x = 15 + 12x + -12x Combine like terms: -8x + -12x = -20x 10 + -20x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -20x = 15 + 0 10 + -20x = 15 Add '-10' to each side of the equation. 10 + -10 + -20x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -20x = 15 + -10 -20x = 15 + -10 Combine like terms: 15 + -10 = 5 -20x = 5 Divide each side by '-20'. x = -0.25 Simplifying x = -0.25
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