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Simplifying 12(x + 6) = 10x + 16 Reorder the terms: 12(6 + x) = 10x + 16 (6 * 12 + x * 12) = 10x + 16 (72 + 12x) = 10x + 16 Reorder the terms: 72 + 12x = 16 + 10x Solving 72 + 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. 72 + 12x + -10x = 16 + 10x + -10x Combine like terms: 12x + -10x = 2x 72 + 2x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 72 + 2x = 16 + 0 72 + 2x = 16 Add '-72' to each side of the equation. 72 + -72 + 2x = 16 + -72 Combine like terms: 72 + -72 = 0 0 + 2x = 16 + -72 2x = 16 + -72 Combine like terms: 16 + -72 = -56 2x = -56 Divide each side by '2'. x = -28 Simplifying x = -28
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