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Simplifying 6(3k + -5) + -7x = 25 Reorder the terms: 6(-5 + 3k) + -7x = 25 (-5 * 6 + 3k * 6) + -7x = 25 (-30 + 18k) + -7x = 25 Solving -30 + 18k + -7x = 25 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 18k + 30 + -7x = 25 + 30 Reorder the terms: -30 + 30 + 18k + -7x = 25 + 30 Combine like terms: -30 + 30 = 0 0 + 18k + -7x = 25 + 30 18k + -7x = 25 + 30 Combine like terms: 25 + 30 = 55 18k + -7x = 55 Add '7x' to each side of the equation. 18k + -7x + 7x = 55 + 7x Combine like terms: -7x + 7x = 0 18k + 0 = 55 + 7x 18k = 55 + 7x Divide each side by '18'. k = 3.055555556 + 0.3888888889x Simplifying k = 3.055555556 + 0.3888888889x
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