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Simplifying 8(x + 12) = 6x Reorder the terms: 8(12 + x) = 6x (12 * 8 + x * 8) = 6x (96 + 8x) = 6x Solving 96 + 8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 96 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 96 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 96 + 2x = 0 Add '-96' to each side of the equation. 96 + -96 + 2x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 2x = 0 + -96 2x = 0 + -96 Combine like terms: 0 + -96 = -96 2x = -96 Divide each side by '2'. x = -48 Simplifying x = -48
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