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Simplifying 12(x + 6) = 10(x + 8) Reorder the terms: 12(6 + x) = 10(x + 8) (6 * 12 + x * 12) = 10(x + 8) (72 + 12x) = 10(x + 8) Reorder the terms: 72 + 12x = 10(8 + x) 72 + 12x = (8 * 10 + x * 10) 72 + 12x = (80 + 10x) Solving 72 + 12x = 80 + 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 = 80 + 10x + -10x Combine like terms: 12x + -10x = 2x 72 + 2x = 80 + 10x + -10x Combine like terms: 10x + -10x = 0 72 + 2x = 80 + 0 72 + 2x = 80 Add '-72' to each side of the equation. 72 + -72 + 2x = 80 + -72 Combine like terms: 72 + -72 = 0 0 + 2x = 80 + -72 2x = 80 + -72 Combine like terms: 80 + -72 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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