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Simplifying 5x + 6(2x + 10) = 102 Reorder the terms: 5x + 6(10 + 2x) = 102 5x + (10 * 6 + 2x * 6) = 102 5x + (60 + 12x) = 102 Reorder the terms: 60 + 5x + 12x = 102 Combine like terms: 5x + 12x = 17x 60 + 17x = 102 Solving 60 + 17x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 17x = 102 + -60 Combine like terms: 60 + -60 = 0 0 + 17x = 102 + -60 17x = 102 + -60 Combine like terms: 102 + -60 = 42 17x = 42 Divide each side by '17'. x = 2.470588235 Simplifying x = 2.470588235
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