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Simplifying 8(1 + 5x) + 6 = 13 + 5x (1 * 8 + 5x * 8) + 6 = 13 + 5x (8 + 40x) + 6 = 13 + 5x Reorder the terms: 8 + 6 + 40x = 13 + 5x Combine like terms: 8 + 6 = 14 14 + 40x = 13 + 5x Solving 14 + 40x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 40x + -5x = 13 + 5x + -5x Combine like terms: 40x + -5x = 35x 14 + 35x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 35x = 13 + 0 14 + 35x = 13 Add '-14' to each side of the equation. 14 + -14 + 35x = 13 + -14 Combine like terms: 14 + -14 = 0 0 + 35x = 13 + -14 35x = 13 + -14 Combine like terms: 13 + -14 = -1 35x = -1 Divide each side by '35'. x = -0.02857142857 Simplifying x = -0.02857142857
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