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Simplifying (X + 6)(x + 1) = x(x + 8) Reorder the terms: (6 + X)(x + 1) = x(x + 8) Reorder the terms: (6 + X)(1 + x) = x(x + 8) Multiply (6 + X) * (1 + x) (6(1 + x) + X(1 + x)) = x(x + 8) ((1 * 6 + x * 6) + X(1 + x)) = x(x + 8) ((6 + 6x) + X(1 + x)) = x(x + 8) (6 + 6x + (1 * X + x * X)) = x(x + 8) (6 + 6x + (1X + xX)) = x(x + 8) Reorder the terms: (6 + 1X + 6x + xX) = x(x + 8) (6 + 1X + 6x + xX) = x(x + 8) Reorder the terms: 6 + 1X + 6x + xX = x(8 + x) 6 + 1X + 6x + xX = (8 * x + x * x) 6 + 1X + 6x + xX = (8x + x2) Solving 6 + 1X + 6x + xX = 8x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 1X + 6x + -6 + xX = 8x + -6 + x2 Reorder the terms: 6 + -6 + 1X + 6x + xX = 8x + -6 + x2 Combine like terms: 6 + -6 = 0 0 + 1X + 6x + xX = 8x + -6 + x2 1X + 6x + xX = 8x + -6 + x2 Reorder the terms: 1X + 6x + xX = -6 + 8x + x2 Add '-6x' to each side of the equation. 1X + 6x + -6x + xX = -6 + 8x + -6x + x2 Combine like terms: 6x + -6x = 0 1X + 0 + xX = -6 + 8x + -6x + x2 1X + xX = -6 + 8x + -6x + x2 Combine like terms: 8x + -6x = 2x 1X + xX = -6 + 2x + x2 Reorder the terms: 6 + 1X + -2x + xX + -1x2 = -6 + 2x + x2 + 6 + -2x + -1x2 Reorder the terms: 6 + 1X + -2x + xX + -1x2 = -6 + 6 + 2x + -2x + x2 + -1x2 Combine like terms: -6 + 6 = 0 6 + 1X + -2x + xX + -1x2 = 0 + 2x + -2x + x2 + -1x2 6 + 1X + -2x + xX + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 6 + 1X + -2x + xX + -1x2 = 0 + x2 + -1x2 6 + 1X + -2x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 1X + -2x + xX + -1x2 = 0 The solution to this equation could not be determined.
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