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Simplifying T(x) = (3 + 8x)(4x + 9) Multiply T * x xT = (3 + 8x)(4x + 9) Reorder the terms: xT = (3 + 8x)(9 + 4x) Multiply (3 + 8x) * (9 + 4x) xT = (3(9 + 4x) + 8x * (9 + 4x)) xT = ((9 * 3 + 4x * 3) + 8x * (9 + 4x)) xT = ((27 + 12x) + 8x * (9 + 4x)) xT = (27 + 12x + (9 * 8x + 4x * 8x)) xT = (27 + 12x + (72x + 32x2)) Combine like terms: 12x + 72x = 84x xT = (27 + 84x + 32x2) Solving xT = 27 + 84x + 32x2 Solving for variable 'x'. Reorder the terms: -27 + -84x + xT + -32x2 = 27 + 84x + 32x2 + -27 + -84x + -32x2 Reorder the terms: -27 + -84x + xT + -32x2 = 27 + -27 + 84x + -84x + 32x2 + -32x2 Combine like terms: 27 + -27 = 0 -27 + -84x + xT + -32x2 = 0 + 84x + -84x + 32x2 + -32x2 -27 + -84x + xT + -32x2 = 84x + -84x + 32x2 + -32x2 Combine like terms: 84x + -84x = 0 -27 + -84x + xT + -32x2 = 0 + 32x2 + -32x2 -27 + -84x + xT + -32x2 = 32x2 + -32x2 Combine like terms: 32x2 + -32x2 = 0 -27 + -84x + xT + -32x2 = 0 The solution to this equation could not be determined.
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