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Simplifying 2(3x + 5) + 2(7x + -4) = 102 Reorder the terms: 2(5 + 3x) + 2(7x + -4) = 102 (5 * 2 + 3x * 2) + 2(7x + -4) = 102 (10 + 6x) + 2(7x + -4) = 102 Reorder the terms: 10 + 6x + 2(-4 + 7x) = 102 10 + 6x + (-4 * 2 + 7x * 2) = 102 10 + 6x + (-8 + 14x) = 102 Reorder the terms: 10 + -8 + 6x + 14x = 102 Combine like terms: 10 + -8 = 2 2 + 6x + 14x = 102 Combine like terms: 6x + 14x = 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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