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