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Simplifying -1x3 + -1x2 + -5x + k = 0 Reorder the terms: k + -5x + -1x2 + -1x3 = 0 Solving k + -5x + -1x2 + -1x3 = 0 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. k + -5x + -1x2 + 5x + -1x3 = 0 + 5x Reorder the terms: k + -5x + 5x + -1x2 + -1x3 = 0 + 5x Combine like terms: -5x + 5x = 0 k + 0 + -1x2 + -1x3 = 0 + 5x k + -1x2 + -1x3 = 0 + 5x Remove the zero: k + -1x2 + -1x3 = 5x Add 'x2' to each side of the equation. k + -1x2 + x2 + -1x3 = 5x + x2 Combine like terms: -1x2 + x2 = 0 k + 0 + -1x3 = 5x + x2 k + -1x3 = 5x + x2 Add 'x3' to each side of the equation. k + -1x3 + x3 = 5x + x2 + x3 Combine like terms: -1x3 + x3 = 0 k + 0 = 5x + x2 + x3 k = 5x + x2 + x3 Simplifying k = 5x + x2 + x3
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