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Simplifying (x + 18)(x + -15)(x + 12)(x + 10) = 2x Reorder the terms: (18 + x)(x + -15)(x + 12)(x + 10) = 2x Reorder the terms: (18 + x)(-15 + x)(x + 12)(x + 10) = 2x Reorder the terms: (18 + x)(-15 + x)(12 + x)(x + 10) = 2x Reorder the terms: (18 + x)(-15 + x)(12 + x)(10 + x) = 2x Multiply (18 + x) * (-15 + x) (18(-15 + x) + x(-15 + x))(12 + x)(10 + x) = 2x ((-15 * 18 + x * 18) + x(-15 + x))(12 + x)(10 + x) = 2x ((-270 + 18x) + x(-15 + x))(12 + x)(10 + x) = 2x (-270 + 18x + (-15 * x + x * x))(12 + x)(10 + x) = 2x (-270 + 18x + (-15x + x2))(12 + x)(10 + x) = 2x Combine like terms: 18x + -15x = 3x (-270 + 3x + x2)(12 + x)(10 + x) = 2x Multiply (-270 + 3x + x2) * (12 + x) (-270(12 + x) + 3x * (12 + x) + x2(12 + x))(10 + x) = 2x ((12 * -270 + x * -270) + 3x * (12 + x) + x2(12 + x))(10 + x) = 2x ((-3240 + -270x) + 3x * (12 + x) + x2(12 + x))(10 + x) = 2x (-3240 + -270x + (12 * 3x + x * 3x) + x2(12 + x))(10 + x) = 2x (-3240 + -270x + (36x + 3x2) + x2(12 + x))(10 + x) = 2x (-3240 + -270x + 36x + 3x2 + (12 * x2 + x * x2))(10 + x) = 2x (-3240 + -270x + 36x + 3x2 + (12x2 + x3))(10 + x) = 2x Combine like terms: -270x + 36x = -234x (-3240 + -234x + 3x2 + 12x2 + x3)(10 + x) = 2x Combine like terms: 3x2 + 12x2 = 15x2 (-3240 + -234x + 15x2 + x3)(10 + x) = 2x Multiply (-3240 + -234x + 15x2 + x3) * (10 + x) (-3240(10 + x) + -234x * (10 + x) + 15x2 * (10 + x) + x3(10 + x)) = 2x ((10 * -3240 + x * -3240) + -234x * (10 + x) + 15x2 * (10 + x) + x3(10 + x)) = 2x ((-32400 + -3240x) + -234x * (10 + x) + 15x2 * (10 + x) + x3(10 + x)) = 2x (-32400 + -3240x + (10 * -234x + x * -234x) + 15x2 * (10 + x) + x3(10 + x)) = 2x (-32400 + -3240x + (-2340x + -234x2) + 15x2 * (10 + x) + x3(10 + x)) = 2x (-32400 + -3240x + -2340x + -234x2 + (10 * 15x2 + x * 15x2) + x3(10 + x)) = 2x (-32400 + -3240x + -2340x + -234x2 + (150x2 + 15x3) + x3(10 + x)) = 2x (-32400 + -3240x + -2340x + -234x2 + 150x2 + 15x3 + (10 * x3 + x * x3)) = 2x (-32400 + -3240x + -2340x + -234x2 + 150x2 + 15x3 + (10x3 + x4)) = 2x Combine like terms: -3240x + -2340x = -5580x (-32400 + -5580x + -234x2 + 150x2 + 15x3 + 10x3 + x4) = 2x Combine like terms: -234x2 + 150x2 = -84x2 (-32400 + -5580x + -84x2 + 15x3 + 10x3 + x4) = 2x Combine like terms: 15x3 + 10x3 = 25x3 (-32400 + -5580x + -84x2 + 25x3 + x4) = 2x Solving -32400 + -5580x + -84x2 + 25x3 + x4 = 2x Solving for variable 'x'. Reorder the terms: -32400 + -5580x + -2x + -84x2 + 25x3 + x4 = 2x + -2x Combine like terms: -5580x + -2x = -5582x -32400 + -5582x + -84x2 + 25x3 + x4 = 2x + -2x Combine like terms: 2x + -2x = 0 -32400 + -5582x + -84x2 + 25x3 + x4 = 0 The solution to this equation could not be determined.
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