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Simplifying 2x + (2x + 2) + (2x + 4) = 102 Reorder the terms: 2x + (2 + 2x) + (2x + 4) = 102 Remove parenthesis around (2 + 2x) 2x + 2 + 2x + (2x + 4) = 102 Reorder the terms: 2x + 2 + 2x + (4 + 2x) = 102 Remove parenthesis around (4 + 2x) 2x + 2 + 2x + 4 + 2x = 102 Reorder the terms: 2 + 4 + 2x + 2x + 2x = 102 Combine like terms: 2 + 4 = 6 6 + 2x + 2x + 2x = 102 Combine like terms: 2x + 2x = 4x 6 + 4x + 2x = 102 Combine like terms: 4x + 2x = 6x 6 + 6x = 102 Solving 6 + 6x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 102 + -6 6x = 102 + -6 Combine like terms: 102 + -6 = 96 6x = 96 Divide each side by '6'. x = 16 Simplifying x = 16
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