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Simplifying (5x2 + 8)(x + 2) = 29x + 28 Reorder the terms: (8 + 5x2)(x + 2) = 29x + 28 Reorder the terms: (8 + 5x2)(2 + x) = 29x + 28 Multiply (8 + 5x2) * (2 + x) (8(2 + x) + 5x2 * (2 + x)) = 29x + 28 ((2 * 8 + x * 8) + 5x2 * (2 + x)) = 29x + 28 ((16 + 8x) + 5x2 * (2 + x)) = 29x + 28 (16 + 8x + (2 * 5x2 + x * 5x2)) = 29x + 28 (16 + 8x + (10x2 + 5x3)) = 29x + 28 (16 + 8x + 10x2 + 5x3) = 29x + 28 Reorder the terms: 16 + 8x + 10x2 + 5x3 = 28 + 29x Solving 16 + 8x + 10x2 + 5x3 = 28 + 29x Solving for variable 'x'. Reorder the terms: 16 + -28 + 8x + -29x + 10x2 + 5x3 = 28 + 29x + -28 + -29x Combine like terms: 16 + -28 = -12 -12 + 8x + -29x + 10x2 + 5x3 = 28 + 29x + -28 + -29x Combine like terms: 8x + -29x = -21x -12 + -21x + 10x2 + 5x3 = 28 + 29x + -28 + -29x Reorder the terms: -12 + -21x + 10x2 + 5x3 = 28 + -28 + 29x + -29x Combine like terms: 28 + -28 = 0 -12 + -21x + 10x2 + 5x3 = 0 + 29x + -29x -12 + -21x + 10x2 + 5x3 = 29x + -29x Combine like terms: 29x + -29x = 0 -12 + -21x + 10x2 + 5x3 = 0 The solution to this equation could not be determined.
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