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Simplifying 5k + -10(1 + -6x) = x + 66 5k + (1 * -10 + -6x * -10) = x + 66 5k + (-10 + 60x) = x + 66 Reorder the terms: -10 + 5k + 60x = x + 66 Reorder the terms: -10 + 5k + 60x = 66 + x Solving -10 + 5k + 60x = 66 + x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 5k + 10 + 60x = 66 + 10 + x Reorder the terms: -10 + 10 + 5k + 60x = 66 + 10 + x Combine like terms: -10 + 10 = 0 0 + 5k + 60x = 66 + 10 + x 5k + 60x = 66 + 10 + x Combine like terms: 66 + 10 = 76 5k + 60x = 76 + x Add '-60x' to each side of the equation. 5k + 60x + -60x = 76 + x + -60x Combine like terms: 60x + -60x = 0 5k + 0 = 76 + x + -60x 5k = 76 + x + -60x Combine like terms: x + -60x = -59x 5k = 76 + -59x Divide each side by '5'. k = 15.2 + -11.8x Simplifying k = 15.2 + -11.8x
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