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Simplifying (x + 6) + (x + 6) + x + x + 2x = 102 Reorder the terms: (6 + x) + (x + 6) + x + x + 2x = 102 Remove parenthesis around (6 + x) 6 + x + (x + 6) + x + x + 2x = 102 Reorder the terms: 6 + x + (6 + x) + x + x + 2x = 102 Remove parenthesis around (6 + x) 6 + x + 6 + x + x + x + 2x = 102 Reorder the terms: 6 + 6 + x + x + x + x + 2x = 102 Combine like terms: 6 + 6 = 12 12 + x + x + x + x + 2x = 102 Combine like terms: x + x = 2x 12 + 2x + x + x + 2x = 102 Combine like terms: 2x + x = 3x 12 + 3x + x + 2x = 102 Combine like terms: 3x + x = 4x 12 + 4x + 2x = 102 Combine like terms: 4x + 2x = 6x 12 + 6x = 102 Solving 12 + 6x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 102 + -12 6x = 102 + -12 Combine like terms: 102 + -12 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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