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Simplifying 5k + 2x + 7 + -1k + 4 = 0 Reorder the terms: 7 + 4 + 5k + -1k + 2x = 0 Combine like terms: 7 + 4 = 11 11 + 5k + -1k + 2x = 0 Combine like terms: 5k + -1k = 4k 11 + 4k + 2x = 0 Solving 11 + 4k + 2x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 4k + -11 + 2x = 0 + -11 Reorder the terms: 11 + -11 + 4k + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4k + 2x = 0 + -11 4k + 2x = 0 + -11 Combine like terms: 0 + -11 = -11 4k + 2x = -11 Add '-2x' to each side of the equation. 4k + 2x + -2x = -11 + -2x Combine like terms: 2x + -2x = 0 4k + 0 = -11 + -2x 4k = -11 + -2x Divide each side by '4'. k = -2.75 + -0.5x Simplifying k = -2.75 + -0.5x
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