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Simplifying 6x + 2(5(x + 1) + 8) = 38 Reorder the terms: 6x + 2(5(1 + x) + 8) = 38 6x + 2((1 * 5 + x * 5) + 8) = 38 6x + 2((5 + 5x) + 8) = 38 Reorder the terms: 6x + 2(5 + 8 + 5x) = 38 Combine like terms: 5 + 8 = 13 6x + 2(13 + 5x) = 38 6x + (13 * 2 + 5x * 2) = 38 6x + (26 + 10x) = 38 Reorder the terms: 26 + 6x + 10x = 38 Combine like terms: 6x + 10x = 16x 26 + 16x = 38 Solving 26 + 16x = 38 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 + 16x = 38 + -26 Combine like terms: 26 + -26 = 0 0 + 16x = 38 + -26 16x = 38 + -26 Combine like terms: 38 + -26 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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