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Simplifying (2x) + (3.5x) + (3x + 7) = 102 Reorder the terms: (2x) + (3.5x) + (7 + 3x) = 102 Remove parenthesis around (7 + 3x) (2x) + (3.5x) + 7 + 3x = 102 Reorder the terms: 7 + (2x) + (3.5x) + 3x = 102 Combine like terms: (2x) + (3.5x) = 5.5x 7 + 5.5x + 3x = 102 Combine like terms: 5.5x + 3x = 8.5x 7 + 8.5x = 102 Solving 7 + 8.5x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8.5x = 102 + -7 Combine like terms: 7 + -7 = 0 0 + 8.5x = 102 + -7 8.5x = 102 + -7 Combine like terms: 102 + -7 = 95 8.5x = 95 Divide each side by '8.5'. x = 11.17647059 Simplifying x = 11.17647059
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