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Simplifying 2(4x + 8) + 2(6x + 2) = 60 Reorder the terms: 2(8 + 4x) + 2(6x + 2) = 60 (8 * 2 + 4x * 2) + 2(6x + 2) = 60 (16 + 8x) + 2(6x + 2) = 60 Reorder the terms: 16 + 8x + 2(2 + 6x) = 60 16 + 8x + (2 * 2 + 6x * 2) = 60 16 + 8x + (4 + 12x) = 60 Reorder the terms: 16 + 4 + 8x + 12x = 60 Combine like terms: 16 + 4 = 20 20 + 8x + 12x = 60 Combine like terms: 8x + 12x = 20x 20 + 20x = 60 Solving 20 + 20x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 20x = 60 + -20 Combine like terms: 20 + -20 = 0 0 + 20x = 60 + -20 20x = 60 + -20 Combine like terms: 60 + -20 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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