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Simplifying 2x2 + -1kx + -12 = x + -4 Reorder the terms: -12 + -1kx + 2x2 = x + -4 Reorder the terms: -12 + -1kx + 2x2 = -4 + x Solving -12 + -1kx + 2x2 = -4 + x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1kx + 12 + 2x2 = -4 + 12 + x Reorder the terms: -12 + 12 + -1kx + 2x2 = -4 + 12 + x Combine like terms: -12 + 12 = 0 0 + -1kx + 2x2 = -4 + 12 + x -1kx + 2x2 = -4 + 12 + x Combine like terms: -4 + 12 = 8 -1kx + 2x2 = 8 + x Add '-2x2' to each side of the equation. -1kx + 2x2 + -2x2 = 8 + x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1kx + 0 = 8 + x + -2x2 -1kx = 8 + x + -2x2 Divide each side by '-1x'. k = -8x-1 + -1 + 2x Simplifying k = -8x-1 + -1 + 2x Reorder the terms: k = -1 + -8x-1 + 2x
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