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Simplifying 12(x + 8) = 6(3x + -1) Reorder the terms: 12(8 + x) = 6(3x + -1) (8 * 12 + x * 12) = 6(3x + -1) (96 + 12x) = 6(3x + -1) Reorder the terms: 96 + 12x = 6(-1 + 3x) 96 + 12x = (-1 * 6 + 3x * 6) 96 + 12x = (-6 + 18x) Solving 96 + 12x = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 96 + 12x + -18x = -6 + 18x + -18x Combine like terms: 12x + -18x = -6x 96 + -6x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 96 + -6x = -6 + 0 96 + -6x = -6 Add '-96' to each side of the equation. 96 + -96 + -6x = -6 + -96 Combine like terms: 96 + -96 = 0 0 + -6x = -6 + -96 -6x = -6 + -96 Combine like terms: -6 + -96 = -102 -6x = -102 Divide each side by '-6'. x = 17 Simplifying x = 17
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