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Simplifying -1(1 + 7k) + -6(-7 + -1x) = 35 (1 * -1 + 7k * -1) + -6(-7 + -1x) = 35 (-1 + -7k) + -6(-7 + -1x) = 35 -1 + -7k + (-7 * -6 + -1x * -6) = 35 -1 + -7k + (42 + 6x) = 35 Reorder the terms: -1 + 42 + -7k + 6x = 35 Combine like terms: -1 + 42 = 41 41 + -7k + 6x = 35 Solving 41 + -7k + 6x = 35 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -7k + -41 + 6x = 35 + -41 Reorder the terms: 41 + -41 + -7k + 6x = 35 + -41 Combine like terms: 41 + -41 = 0 0 + -7k + 6x = 35 + -41 -7k + 6x = 35 + -41 Combine like terms: 35 + -41 = -6 -7k + 6x = -6 Add '-6x' to each side of the equation. -7k + 6x + -6x = -6 + -6x Combine like terms: 6x + -6x = 0 -7k + 0 = -6 + -6x -7k = -6 + -6x Divide each side by '-7'. k = 0.8571428571 + 0.8571428571x Simplifying k = 0.8571428571 + 0.8571428571x
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