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Simplifying x2 + 3x + -10 + 5 = x2 + kx + 30 Reorder the terms: -10 + 5 + 3x + x2 = x2 + kx + 30 Combine like terms: -10 + 5 = -5 -5 + 3x + x2 = x2 + kx + 30 Reorder the terms: -5 + 3x + x2 = 30 + kx + x2 Add '-1x2' to each side of the equation. -5 + 3x + x2 + -1x2 = 30 + kx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 3x + 0 = 30 + kx + x2 + -1x2 -5 + 3x = 30 + kx + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 3x = 30 + kx + 0 -5 + 3x = 30 + kx Solving -5 + 3x = 30 + kx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1kx' to each side of the equation. -5 + -1kx + 3x = 30 + kx + -1kx Combine like terms: kx + -1kx = 0 -5 + -1kx + 3x = 30 + 0 -5 + -1kx + 3x = 30 Add '5' to each side of the equation. -5 + -1kx + 5 + 3x = 30 + 5 Reorder the terms: -5 + 5 + -1kx + 3x = 30 + 5 Combine like terms: -5 + 5 = 0 0 + -1kx + 3x = 30 + 5 -1kx + 3x = 30 + 5 Combine like terms: 30 + 5 = 35 -1kx + 3x = 35 Reorder the terms: -35 + -1kx + 3x = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + -1kx + 3x = 0 The solution to this equation could not be determined.
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