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Simplifying 8(1 + 5k) + 5 = 13 + 5x (1 * 8 + 5k * 8) + 5 = 13 + 5x (8 + 40k) + 5 = 13 + 5x Reorder the terms: 8 + 5 + 40k = 13 + 5x Combine like terms: 8 + 5 = 13 13 + 40k = 13 + 5x Add '-13' to each side of the equation. 13 + -13 + 40k = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 0 + 40k = 13 + -13 + 5x 40k = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 40k = 0 + 5x 40k = 5x Solving 40k = 5x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '40'. k = 0.125x Simplifying k = 0.125x
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