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Simplifying (x + 12) * 8 = 4x Reorder the terms: (12 + x) * 8 = 4x Reorder the terms for easier multiplication: 8(12 + x) = 4x (12 * 8 + x * 8) = 4x (96 + 8x) = 4x Solving 96 + 8x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 96 + 8x + -4x = 4x + -4x Combine like terms: 8x + -4x = 4x 96 + 4x = 4x + -4x Combine like terms: 4x + -4x = 0 96 + 4x = 0 Add '-96' to each side of the equation. 96 + -96 + 4x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 4x = 0 + -96 4x = 0 + -96 Combine like terms: 0 + -96 = -96 4x = -96 Divide each side by '4'. x = -24 Simplifying x = -24
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