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Simplifying 102 = 2(7 + 6x) + 4 102 = (7 * 2 + 6x * 2) + 4 102 = (14 + 12x) + 4 Reorder the terms: 102 = 14 + 4 + 12x Combine like terms: 14 + 4 = 18 102 = 18 + 12x Solving 102 = 18 + 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 = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 102 + -12x = 18 + 0 102 + -12x = 18 Add '-102' to each side of the equation. 102 + -102 + -12x = 18 + -102 Combine like terms: 102 + -102 = 0 0 + -12x = 18 + -102 -12x = 18 + -102 Combine like terms: 18 + -102 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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