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Simplifying 2(6x + 5) = 5(2x + 4) Reorder the terms: 2(5 + 6x) = 5(2x + 4) (5 * 2 + 6x * 2) = 5(2x + 4) (10 + 12x) = 5(2x + 4) Reorder the terms: 10 + 12x = 5(4 + 2x) 10 + 12x = (4 * 5 + 2x * 5) 10 + 12x = (20 + 10x) Solving 10 + 12x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 12x + -10x = 20 + 10x + -10x Combine like terms: 12x + -10x = 2x 10 + 2x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + 2x = 20 + 0 10 + 2x = 20 Add '-10' to each side of the equation. 10 + -10 + 2x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 20 + -10 2x = 20 + -10 Combine like terms: 20 + -10 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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