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Simplifying 10(x + 2) = 5(x + 9) Reorder the terms: 10(2 + x) = 5(x + 9) (2 * 10 + x * 10) = 5(x + 9) (20 + 10x) = 5(x + 9) Reorder the terms: 20 + 10x = 5(9 + x) 20 + 10x = (9 * 5 + x * 5) 20 + 10x = (45 + 5x) Solving 20 + 10x = 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. 20 + 10x + -5x = 45 + 5x + -5x Combine like terms: 10x + -5x = 5x 20 + 5x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 5x = 45 + 0 20 + 5x = 45 Add '-20' to each side of the equation. 20 + -20 + 5x = 45 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 45 + -20 5x = 45 + -20 Combine like terms: 45 + -20 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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