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Simplifying 17 + -2k + -7x + 12k + 12 + -7x = 0 Reorder the terms: 17 + 12 + -2k + 12k + -7x + -7x = 0 Combine like terms: 17 + 12 = 29 29 + -2k + 12k + -7x + -7x = 0 Combine like terms: -2k + 12k = 10k 29 + 10k + -7x + -7x = 0 Combine like terms: -7x + -7x = -14x 29 + 10k + -14x = 0 Solving 29 + 10k + -14x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + 10k + -29 + -14x = 0 + -29 Reorder the terms: 29 + -29 + 10k + -14x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 10k + -14x = 0 + -29 10k + -14x = 0 + -29 Combine like terms: 0 + -29 = -29 10k + -14x = -29 Add '14x' to each side of the equation. 10k + -14x + 14x = -29 + 14x Combine like terms: -14x + 14x = 0 10k + 0 = -29 + 14x 10k = -29 + 14x Divide each side by '10'. k = -2.9 + 1.4x Simplifying k = -2.9 + 1.4x
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