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Simplifying (2x + -1)(x + 2) + -1(x + 4)(x + -1) = -5 Reorder the terms: (-1 + 2x)(x + 2) + -1(x + 4)(x + -1) = -5 Reorder the terms: (-1 + 2x)(2 + x) + -1(x + 4)(x + -1) = -5 Multiply (-1 + 2x) * (2 + x) (-1(2 + x) + 2x * (2 + x)) + -1(x + 4)(x + -1) = -5 ((2 * -1 + x * -1) + 2x * (2 + x)) + -1(x + 4)(x + -1) = -5 ((-2 + -1x) + 2x * (2 + x)) + -1(x + 4)(x + -1) = -5 (-2 + -1x + (2 * 2x + x * 2x)) + -1(x + 4)(x + -1) = -5 (-2 + -1x + (4x + 2x2)) + -1(x + 4)(x + -1) = -5 Combine like terms: -1x + 4x = 3x (-2 + 3x + 2x2) + -1(x + 4)(x + -1) = -5 Reorder the terms: -2 + 3x + 2x2 + -1(4 + x)(x + -1) = -5 Reorder the terms: -2 + 3x + 2x2 + -1(4 + x)(-1 + x) = -5 Multiply (4 + x) * (-1 + x) -2 + 3x + 2x2 + -1(4(-1 + x) + x(-1 + x)) = -5 -2 + 3x + 2x2 + -1((-1 * 4 + x * 4) + x(-1 + x)) = -5 -2 + 3x + 2x2 + -1((-4 + 4x) + x(-1 + x)) = -5 -2 + 3x + 2x2 + -1(-4 + 4x + (-1 * x + x * x)) = -5 -2 + 3x + 2x2 + -1(-4 + 4x + (-1x + x2)) = -5 Combine like terms: 4x + -1x = 3x -2 + 3x + 2x2 + -1(-4 + 3x + x2) = -5 -2 + 3x + 2x2 + (-4 * -1 + 3x * -1 + x2 * -1) = -5 -2 + 3x + 2x2 + (4 + -3x + -1x2) = -5 Reorder the terms: -2 + 4 + 3x + -3x + 2x2 + -1x2 = -5 Combine like terms: -2 + 4 = 2 2 + 3x + -3x + 2x2 + -1x2 = -5 Combine like terms: 3x + -3x = 0 2 + 0 + 2x2 + -1x2 = -5 2 + 2x2 + -1x2 = -5 Combine like terms: 2x2 + -1x2 = 1x2 2 + 1x2 = -5 Solving 2 + 1x2 = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x2 = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 1x2 = -5 + -2 1x2 = -5 + -2 Combine like terms: -5 + -2 = -7 1x2 = -7 Divide each side by '1'. x2 = -7 Simplifying x2 = -7 Reorder the terms: 7 + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + x2 = 0 The solution to this equation could not be determined.
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