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Simplifying 10(2x + 3) = 5(x + 9) Reorder the terms: 10(3 + 2x) = 5(x + 9) (3 * 10 + 2x * 10) = 5(x + 9) (30 + 20x) = 5(x + 9) Reorder the terms: 30 + 20x = 5(9 + x) 30 + 20x = (9 * 5 + x * 5) 30 + 20x = (45 + 5x) Solving 30 + 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. 30 + 20x + -5x = 45 + 5x + -5x Combine like terms: 20x + -5x = 15x 30 + 15x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 15x = 45 + 0 30 + 15x = 45 Add '-30' to each side of the equation. 30 + -30 + 15x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 15x = 45 + -30 15x = 45 + -30 Combine like terms: 45 + -30 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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