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Simplifying 102 = 2(2x + 9) + 2x Reorder the terms: 102 = 2(9 + 2x) + 2x 102 = (9 * 2 + 2x * 2) + 2x 102 = (18 + 4x) + 2x Combine like terms: 4x + 2x = 6x 102 = 18 + 6x Solving 102 = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 102 + -6x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 102 + -6x = 18 + 0 102 + -6x = 18 Add '-102' to each side of the equation. 102 + -102 + -6x = 18 + -102 Combine like terms: 102 + -102 = 0 0 + -6x = 18 + -102 -6x = 18 + -102 Combine like terms: 18 + -102 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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