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Simplifying (2x + -3)(x + 4) = k Reorder the terms: (-3 + 2x)(x + 4) = k Reorder the terms: (-3 + 2x)(4 + x) = k Multiply (-3 + 2x) * (4 + x) (-3(4 + x) + 2x * (4 + x)) = k ((4 * -3 + x * -3) + 2x * (4 + x)) = k ((-12 + -3x) + 2x * (4 + x)) = k (-12 + -3x + (4 * 2x + x * 2x)) = k (-12 + -3x + (8x + 2x2)) = k Combine like terms: -3x + 8x = 5x (-12 + 5x + 2x2) = k Solving -12 + 5x + 2x2 = k Solving for variable 'x'. Reorder the terms: -12 + -1k + 5x + 2x2 = k + -1k Combine like terms: k + -1k = 0 -12 + -1k + 5x + 2x2 = 0 The solution to this equation could not be determined.
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