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Simplifying 102 = 6(1 + 2x) 102 = (1 * 6 + 2x * 6) 102 = (6 + 12x) Solving 102 = 6 + 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. 102 + -12x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 102 + -12x = 6 + 0 102 + -12x = 6 Add '-102' to each side of the equation. 102 + -102 + -12x = 6 + -102 Combine like terms: 102 + -102 = 0 0 + -12x = 6 + -102 -12x = 6 + -102 Combine like terms: 6 + -102 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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