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Simplifying (3x + 2) + (3x + 2) + (4x) + (4x) = 102 Reorder the terms: (2 + 3x) + (3x + 2) + (4x) + (4x) = 102 Remove parenthesis around (2 + 3x) 2 + 3x + (3x + 2) + (4x) + (4x) = 102 Reorder the terms: 2 + 3x + (2 + 3x) + (4x) + (4x) = 102 Remove parenthesis around (2 + 3x) 2 + 3x + 2 + 3x + (4x) + (4x) = 102 Reorder the terms: 2 + 2 + 3x + 3x + (4x) + (4x) = 102 Combine like terms: 2 + 2 = 4 4 + 3x + 3x + (4x) + (4x) = 102 Combine like terms: 3x + 3x = 6x 4 + 6x + (4x) + (4x) = 102 Combine like terms: 6x + (4x) = 10x 4 + 10x + (4x) = 102 Combine like terms: 10x + (4x) = 14x 4 + 14x = 102 Solving 4 + 14x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14x = 102 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 102 + -4 14x = 102 + -4 Combine like terms: 102 + -4 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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