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Simplifying 6(2x + 3) = 2(5x + 8) Reorder the terms: 6(3 + 2x) = 2(5x + 8) (3 * 6 + 2x * 6) = 2(5x + 8) (18 + 12x) = 2(5x + 8) Reorder the terms: 18 + 12x = 2(8 + 5x) 18 + 12x = (8 * 2 + 5x * 2) 18 + 12x = (16 + 10x) Solving 18 + 12x = 16 + 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. 18 + 12x + -10x = 16 + 10x + -10x Combine like terms: 12x + -10x = 2x 18 + 2x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 2x = 16 + 0 18 + 2x = 16 Add '-18' to each side of the equation. 18 + -18 + 2x = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 16 + -18 2x = 16 + -18 Combine like terms: 16 + -18 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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