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Simplifying 6(2x + 10) = 5(x + 5) Reorder the terms: 6(10 + 2x) = 5(x + 5) (10 * 6 + 2x * 6) = 5(x + 5) (60 + 12x) = 5(x + 5) Reorder the terms: 60 + 12x = 5(5 + x) 60 + 12x = (5 * 5 + x * 5) 60 + 12x = (25 + 5x) Solving 60 + 12x = 25 + 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 + 12x + -5x = 25 + 5x + -5x Combine like terms: 12x + -5x = 7x 60 + 7x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 60 + 7x = 25 + 0 60 + 7x = 25 Add '-60' to each side of the equation. 60 + -60 + 7x = 25 + -60 Combine like terms: 60 + -60 = 0 0 + 7x = 25 + -60 7x = 25 + -60 Combine like terms: 25 + -60 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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