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Simplifying X(x + 5) + 6(x + 5) = (x + 5) Reorder the terms: X(5 + x) + 6(x + 5) = (x + 5) (5 * X + x * X) + 6(x + 5) = (x + 5) (5X + xX) + 6(x + 5) = (x + 5) Reorder the terms: 5X + xX + 6(5 + x) = (x + 5) 5X + xX + (5 * 6 + x * 6) = (x + 5) 5X + xX + (30 + 6x) = (x + 5) Reorder the terms: 30 + 5X + 6x + xX = (x + 5) Reorder the terms: 30 + 5X + 6x + xX = (5 + x) Remove parenthesis around (5 + x) 30 + 5X + 6x + xX = 5 + x Solving 30 + 5X + 6x + xX = 5 + x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 5X + 6x + -30 + xX = 5 + -30 + x Reorder the terms: 30 + -30 + 5X + 6x + xX = 5 + -30 + x Combine like terms: 30 + -30 = 0 0 + 5X + 6x + xX = 5 + -30 + x 5X + 6x + xX = 5 + -30 + x Combine like terms: 5 + -30 = -25 5X + 6x + xX = -25 + x Add '-6x' to each side of the equation. 5X + 6x + -6x + xX = -25 + x + -6x Combine like terms: 6x + -6x = 0 5X + 0 + xX = -25 + x + -6x 5X + xX = -25 + x + -6x Combine like terms: x + -6x = -5x 5X + xX = -25 + -5x Reorder the terms: 25 + 5X + 5x + xX = -25 + -5x + 25 + 5x Reorder the terms: 25 + 5X + 5x + xX = -25 + 25 + -5x + 5x Combine like terms: -25 + 25 = 0 25 + 5X + 5x + xX = 0 + -5x + 5x 25 + 5X + 5x + xX = -5x + 5x Combine like terms: -5x + 5x = 0 25 + 5X + 5x + xX = 0 The solution to this equation could not be determined.
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