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Simplifying 20(x + 3) = 5(x + 9) Reorder the terms: 20(3 + x) = 5(x + 9) (3 * 20 + x * 20) = 5(x + 9) (60 + 20x) = 5(x + 9) Reorder the terms: 60 + 20x = 5(9 + x) 60 + 20x = (9 * 5 + x * 5) 60 + 20x = (45 + 5x) Solving 60 + 20x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 60 + 20x + -5x = 45 + 5x + -5x Combine like terms: 20x + -5x = 15x 60 + 15x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 60 + 15x = 45 + 0 60 + 15x = 45 Add '-60' to each side of the equation. 60 + -60 + 15x = 45 + -60 Combine like terms: 60 + -60 = 0 0 + 15x = 45 + -60 15x = 45 + -60 Combine like terms: 45 + -60 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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