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Simplifying 10(x + 6) = 5(x + 17) Reorder the terms: 10(6 + x) = 5(x + 17) (6 * 10 + x * 10) = 5(x + 17) (60 + 10x) = 5(x + 17) Reorder the terms: 60 + 10x = 5(17 + x) 60 + 10x = (17 * 5 + x * 5) 60 + 10x = (85 + 5x) Solving 60 + 10x = 85 + 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 = 85 + 5x + -5x Combine like terms: 10x + -5x = 5x 60 + 5x = 85 + 5x + -5x Combine like terms: 5x + -5x = 0 60 + 5x = 85 + 0 60 + 5x = 85 Add '-60' to each side of the equation. 60 + -60 + 5x = 85 + -60 Combine like terms: 60 + -60 = 0 0 + 5x = 85 + -60 5x = 85 + -60 Combine like terms: 85 + -60 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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