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Simplifying 5(x + k) = 4x + 20 Reorder the terms: 5(k + x) = 4x + 20 (k * 5 + x * 5) = 4x + 20 (5k + 5x) = 4x + 20 Reorder the terms: 5k + 5x = 20 + 4x Solving 5k + 5x = 20 + 4x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5x' to each side of the equation. 5k + 5x + -5x = 20 + 4x + -5x Combine like terms: 5x + -5x = 0 5k + 0 = 20 + 4x + -5x 5k = 20 + 4x + -5x Combine like terms: 4x + -5x = -1x 5k = 20 + -1x Divide each side by '5'. k = 4 + -0.2x Simplifying k = 4 + -0.2x
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