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Simplifying 18x10 + 7x9 + 13x7 + kx3 + kx2 + 3 = 0 Reorder the terms: 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = 0 Solving 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + kx2 + kx3 + 13x7 + 7x9 + -3 + 18x10 = 0 + -3 Reorder the terms: 3 + -3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = 0 + -3 kx2 + kx3 + 13x7 + 7x9 + 18x10 = 0 + -3 Combine like terms: 0 + -3 = -3 kx2 + kx3 + 13x7 + 7x9 + 18x10 = -3 Add '-13x7' to each side of the equation. kx2 + kx3 + 13x7 + 7x9 + -13x7 + 18x10 = -3 + -13x7 Reorder the terms: kx2 + kx3 + 13x7 + -13x7 + 7x9 + 18x10 = -3 + -13x7 Combine like terms: 13x7 + -13x7 = 0 kx2 + kx3 + 0 + 7x9 + 18x10 = -3 + -13x7 kx2 + kx3 + 7x9 + 18x10 = -3 + -13x7 Add '-7x9' to each side of the equation. kx2 + kx3 + 7x9 + -7x9 + 18x10 = -3 + -13x7 + -7x9 Combine like terms: 7x9 + -7x9 = 0 kx2 + kx3 + 0 + 18x10 = -3 + -13x7 + -7x9 kx2 + kx3 + 18x10 = -3 + -13x7 + -7x9 Add '-18x10' to each side of the equation. kx2 + kx3 + 18x10 + -18x10 = -3 + -13x7 + -7x9 + -18x10 Combine like terms: 18x10 + -18x10 = 0 kx2 + kx3 + 0 = -3 + -13x7 + -7x9 + -18x10 kx2 + kx3 = -3 + -13x7 + -7x9 + -18x10 Reorder the terms: 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = -3 + -13x7 + -7x9 + -18x10 + 3 + 13x7 + 7x9 + 18x10 Reorder the terms: 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = -3 + 3 + -13x7 + 13x7 + -7x9 + 7x9 + -18x10 + 18x10 Combine like terms: -3 + 3 = 0 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = 0 + -13x7 + 13x7 + -7x9 + 7x9 + -18x10 + 18x10 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = -13x7 + 13x7 + -7x9 + 7x9 + -18x10 + 18x10 Combine like terms: -13x7 + 13x7 = 0 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = 0 + -7x9 + 7x9 + -18x10 + 18x10 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = -7x9 + 7x9 + -18x10 + 18x10 Combine like terms: -7x9 + 7x9 = 0 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = 0 + -18x10 + 18x10 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = -18x10 + 18x10 Combine like terms: -18x10 + 18x10 = 0 3 + kx2 + kx3 + 13x7 + 7x9 + 18x10 = 0 The solution to this equation could not be determined.
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