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Simplifying x + 4x + 20 + 5k + 30 = 180 Reorder the terms: 20 + 30 + 5k + x + 4x = 180 Combine like terms: 20 + 30 = 50 50 + 5k + x + 4x = 180 Combine like terms: x + 4x = 5x 50 + 5k + 5x = 180 Solving 50 + 5k + 5x = 180 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 5k + -50 + 5x = 180 + -50 Reorder the terms: 50 + -50 + 5k + 5x = 180 + -50 Combine like terms: 50 + -50 = 0 0 + 5k + 5x = 180 + -50 5k + 5x = 180 + -50 Combine like terms: 180 + -50 = 130 5k + 5x = 130 Add '-5x' to each side of the equation. 5k + 5x + -5x = 130 + -5x Combine like terms: 5x + -5x = 0 5k + 0 = 130 + -5x 5k = 130 + -5x Divide each side by '5'. k = 26 + -1x Simplifying k = 26 + -1x
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