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Simplifying 3(2k + -5) + -7x = 4x + 20 Reorder the terms: 3(-5 + 2k) + -7x = 4x + 20 (-5 * 3 + 2k * 3) + -7x = 4x + 20 (-15 + 6k) + -7x = 4x + 20 Reorder the terms: -15 + 6k + -7x = 20 + 4x Solving -15 + 6k + -7x = 20 + 4x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 6k + 15 + -7x = 20 + 15 + 4x Reorder the terms: -15 + 15 + 6k + -7x = 20 + 15 + 4x Combine like terms: -15 + 15 = 0 0 + 6k + -7x = 20 + 15 + 4x 6k + -7x = 20 + 15 + 4x Combine like terms: 20 + 15 = 35 6k + -7x = 35 + 4x Add '7x' to each side of the equation. 6k + -7x + 7x = 35 + 4x + 7x Combine like terms: -7x + 7x = 0 6k + 0 = 35 + 4x + 7x 6k = 35 + 4x + 7x Combine like terms: 4x + 7x = 11x 6k = 35 + 11x Divide each side by '6'. k = 5.833333333 + 1.833333333x Simplifying k = 5.833333333 + 1.833333333x
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