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Simplifying 2x + 2(4x + 13) = 106 Reorder the terms: 2x + 2(13 + 4x) = 106 2x + (13 * 2 + 4x * 2) = 106 2x + (26 + 8x) = 106 Reorder the terms: 26 + 2x + 8x = 106 Combine like terms: 2x + 8x = 10x 26 + 10x = 106 Solving 26 + 10x = 106 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 + 10x = 106 + -26 Combine like terms: 26 + -26 = 0 0 + 10x = 106 + -26 10x = 106 + -26 Combine like terms: 106 + -26 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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