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Simplifying 2x + 2(x + 13) = 102 Reorder the terms: 2x + 2(13 + x) = 102 2x + (13 * 2 + x * 2) = 102 2x + (26 + 2x) = 102 Reorder the terms: 26 + 2x + 2x = 102 Combine like terms: 2x + 2x = 4x 26 + 4x = 102 Solving 26 + 4x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 4x = 102 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = 102 + -26 4x = 102 + -26 Combine like terms: 102 + -26 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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