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Simplifying x2 + -2k(x + 3) = 6x + 2 Reorder the terms: x2 + -2k(3 + x) = 6x + 2 x2 + (3 * -2k + x * -2k) = 6x + 2 x2 + (-6k + -2kx) = 6x + 2 Reorder the terms: -6k + -2kx + x2 = 6x + 2 Reorder the terms: -6k + -2kx + x2 = 2 + 6x Solving -6k + -2kx + x2 = 2 + 6x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x2' to each side of the equation. -6k + -2kx + x2 + -1x2 = 2 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 -6k + -2kx + 0 = 2 + 6x + -1x2 -6k + -2kx = 2 + 6x + -1x2 Reorder the terms: -2 + -6k + -2kx + -6x + x2 = 2 + 6x + -1x2 + -2 + -6x + x2 Reorder the terms: -2 + -6k + -2kx + -6x + x2 = 2 + -2 + 6x + -6x + -1x2 + x2 Combine like terms: 2 + -2 = 0 -2 + -6k + -2kx + -6x + x2 = 0 + 6x + -6x + -1x2 + x2 -2 + -6k + -2kx + -6x + x2 = 6x + -6x + -1x2 + x2 Combine like terms: 6x + -6x = 0 -2 + -6k + -2kx + -6x + x2 = 0 + -1x2 + x2 -2 + -6k + -2kx + -6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -2 + -6k + -2kx + -6x + x2 = 0 The solution to this equation could not be determined.
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