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Simplifying 3x + 5 + 3x + 5 + 7x + -4 + 7x + -4 = 102 Reorder the terms: 5 + 5 + -4 + -4 + 3x + 3x + 7x + 7x = 102 Combine like terms: 5 + 5 = 10 10 + -4 + -4 + 3x + 3x + 7x + 7x = 102 Combine like terms: 10 + -4 = 6 6 + -4 + 3x + 3x + 7x + 7x = 102 Combine like terms: 6 + -4 = 2 2 + 3x + 3x + 7x + 7x = 102 Combine like terms: 3x + 3x = 6x 2 + 6x + 7x + 7x = 102 Combine like terms: 6x + 7x = 13x 2 + 13x + 7x = 102 Combine like terms: 13x + 7x = 20x 2 + 20x = 102 Solving 2 + 20x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 20x = 102 + -2 Combine like terms: 2 + -2 = 0 0 + 20x = 102 + -2 20x = 102 + -2 Combine like terms: 102 + -2 = 100 20x = 100 Divide each side by '20'. x = 5 Simplifying x = 5
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