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Simplifying (X + 6)(4x + 8) + x(x + 8) = 1 Reorder the terms: (6 + X)(4x + 8) + x(x + 8) = 1 Reorder the terms: (6 + X)(8 + 4x) + x(x + 8) = 1 Multiply (6 + X) * (8 + 4x) (6(8 + 4x) + X(8 + 4x)) + x(x + 8) = 1 ((8 * 6 + 4x * 6) + X(8 + 4x)) + x(x + 8) = 1 ((48 + 24x) + X(8 + 4x)) + x(x + 8) = 1 (48 + 24x + (8 * X + 4x * X)) + x(x + 8) = 1 (48 + 24x + (8X + 4xX)) + x(x + 8) = 1 Reorder the terms: (48 + 8X + 24x + 4xX) + x(x + 8) = 1 (48 + 8X + 24x + 4xX) + x(x + 8) = 1 Reorder the terms: 48 + 8X + 24x + 4xX + x(8 + x) = 1 48 + 8X + 24x + 4xX + (8 * x + x * x) = 1 48 + 8X + 24x + 4xX + (8x + x2) = 1 Reorder the terms: 48 + 8X + 24x + 8x + 4xX + x2 = 1 Combine like terms: 24x + 8x = 32x 48 + 8X + 32x + 4xX + x2 = 1 Solving 48 + 8X + 32x + 4xX + x2 = 1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 8X + 32x + 4xX + -48 + x2 = 1 + -48 Reorder the terms: 48 + -48 + 8X + 32x + 4xX + x2 = 1 + -48 Combine like terms: 48 + -48 = 0 0 + 8X + 32x + 4xX + x2 = 1 + -48 8X + 32x + 4xX + x2 = 1 + -48 Combine like terms: 1 + -48 = -47 8X + 32x + 4xX + x2 = -47 Add '-32x' to each side of the equation. 8X + 32x + 4xX + -32x + x2 = -47 + -32x Reorder the terms: 8X + 32x + -32x + 4xX + x2 = -47 + -32x Combine like terms: 32x + -32x = 0 8X + 0 + 4xX + x2 = -47 + -32x 8X + 4xX + x2 = -47 + -32x Add '-1x2' to each side of the equation. 8X + 4xX + x2 + -1x2 = -47 + -32x + -1x2 Combine like terms: x2 + -1x2 = 0 8X + 4xX + 0 = -47 + -32x + -1x2 8X + 4xX = -47 + -32x + -1x2 Reorder the terms: 47 + 8X + 32x + 4xX + x2 = -47 + -32x + -1x2 + 47 + 32x + x2 Reorder the terms: 47 + 8X + 32x + 4xX + x2 = -47 + 47 + -32x + 32x + -1x2 + x2 Combine like terms: -47 + 47 = 0 47 + 8X + 32x + 4xX + x2 = 0 + -32x + 32x + -1x2 + x2 47 + 8X + 32x + 4xX + x2 = -32x + 32x + -1x2 + x2 Combine like terms: -32x + 32x = 0 47 + 8X + 32x + 4xX + x2 = 0 + -1x2 + x2 47 + 8X + 32x + 4xX + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 47 + 8X + 32x + 4xX + x2 = 0 The solution to this equation could not be determined.
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