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Simplifying 6(2x + 1) = 8(2 + -1x) Reorder the terms: 6(1 + 2x) = 8(2 + -1x) (1 * 6 + 2x * 6) = 8(2 + -1x) (6 + 12x) = 8(2 + -1x) 6 + 12x = (2 * 8 + -1x * 8) 6 + 12x = (16 + -8x) Solving 6 + 12x = 16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 12x + 8x = 16 + -8x + 8x Combine like terms: 12x + 8x = 20x 6 + 20x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 20x = 16 + 0 6 + 20x = 16 Add '-6' to each side of the equation. 6 + -6 + 20x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 20x = 16 + -6 20x = 16 + -6 Combine like terms: 16 + -6 = 10 20x = 10 Divide each side by '20'. x = 0.5 Simplifying x = 0.5
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