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Simplifying 12(x + 8) = 10x + 16 Reorder the terms: 12(8 + x) = 10x + 16 (8 * 12 + x * 12) = 10x + 16 (96 + 12x) = 10x + 16 Reorder the terms: 96 + 12x = 16 + 10x Solving 96 + 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. 96 + 12x + -10x = 16 + 10x + -10x Combine like terms: 12x + -10x = 2x 96 + 2x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 96 + 2x = 16 + 0 96 + 2x = 16 Add '-96' to each side of the equation. 96 + -96 + 2x = 16 + -96 Combine like terms: 96 + -96 = 0 0 + 2x = 16 + -96 2x = 16 + -96 Combine like terms: 16 + -96 = -80 2x = -80 Divide each side by '2'. x = -40 Simplifying x = -40
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