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Simplifying 4(3x + 5) = 5(2x + 8) Reorder the terms: 4(5 + 3x) = 5(2x + 8) (5 * 4 + 3x * 4) = 5(2x + 8) (20 + 12x) = 5(2x + 8) Reorder the terms: 20 + 12x = 5(8 + 2x) 20 + 12x = (8 * 5 + 2x * 5) 20 + 12x = (40 + 10x) Solving 20 + 12x = 40 + 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 = 40 + 10x + -10x Combine like terms: 12x + -10x = 2x 20 + 2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 2x = 40 + 0 20 + 2x = 40 Add '-20' to each side of the equation. 20 + -20 + 2x = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 40 + -20 2x = 40 + -20 Combine like terms: 40 + -20 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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