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Simplifying 4(3x + 5) = 2(5x + 4) Reorder the terms: 4(5 + 3x) = 2(5x + 4) (5 * 4 + 3x * 4) = 2(5x + 4) (20 + 12x) = 2(5x + 4) Reorder the terms: 20 + 12x = 2(4 + 5x) 20 + 12x = (4 * 2 + 5x * 2) 20 + 12x = (8 + 10x) Solving 20 + 12x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + 12x + -10x = 8 + 10x + -10x Combine like terms: 12x + -10x = 2x 20 + 2x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 2x = 8 + 0 20 + 2x = 8 Add '-20' to each side of the equation. 20 + -20 + 2x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 8 + -20 2x = 8 + -20 Combine like terms: 8 + -20 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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