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Simplifying 6(2x + 10) = 5(5x + 5) Reorder the terms: 6(10 + 2x) = 5(5x + 5) (10 * 6 + 2x * 6) = 5(5x + 5) (60 + 12x) = 5(5x + 5) Reorder the terms: 60 + 12x = 5(5 + 5x) 60 + 12x = (5 * 5 + 5x * 5) 60 + 12x = (25 + 25x) Solving 60 + 12x = 25 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 60 + 12x + -25x = 25 + 25x + -25x Combine like terms: 12x + -25x = -13x 60 + -13x = 25 + 25x + -25x Combine like terms: 25x + -25x = 0 60 + -13x = 25 + 0 60 + -13x = 25 Add '-60' to each side of the equation. 60 + -60 + -13x = 25 + -60 Combine like terms: 60 + -60 = 0 0 + -13x = 25 + -60 -13x = 25 + -60 Combine like terms: 25 + -60 = -35 -13x = -35 Divide each side by '-13'. x = 2.692307692 Simplifying x = 2.692307692
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