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Simplifying 10(x + 6) = 5(x + 21) Reorder the terms: 10(6 + x) = 5(x + 21) (6 * 10 + x * 10) = 5(x + 21) (60 + 10x) = 5(x + 21) Reorder the terms: 60 + 10x = 5(21 + x) 60 + 10x = (21 * 5 + x * 5) 60 + 10x = (105 + 5x) Solving 60 + 10x = 105 + 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 + 10x + -5x = 105 + 5x + -5x Combine like terms: 10x + -5x = 5x 60 + 5x = 105 + 5x + -5x Combine like terms: 5x + -5x = 0 60 + 5x = 105 + 0 60 + 5x = 105 Add '-60' to each side of the equation. 60 + -60 + 5x = 105 + -60 Combine like terms: 60 + -60 = 0 0 + 5x = 105 + -60 5x = 105 + -60 Combine like terms: 105 + -60 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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