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Simplifying (X + 1.5)(x + 5) = 35 Reorder the terms: (1.5 + X)(x + 5) = 35 Reorder the terms: (1.5 + X)(5 + x) = 35 Multiply (1.5 + X) * (5 + x) (1.5(5 + x) + X(5 + x)) = 35 ((5 * 1.5 + x * 1.5) + X(5 + x)) = 35 ((7.5 + 1.5x) + X(5 + x)) = 35 (7.5 + 1.5x + (5 * X + x * X)) = 35 (7.5 + 1.5x + (5X + xX)) = 35 Reorder the terms: (7.5 + 5X + 1.5x + xX) = 35 (7.5 + 5X + 1.5x + xX) = 35 Solving 7.5 + 5X + 1.5x + xX = 35 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + 5X + 1.5x + -7.5 + xX = 35 + -7.5 Reorder the terms: 7.5 + -7.5 + 5X + 1.5x + xX = 35 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 5X + 1.5x + xX = 35 + -7.5 5X + 1.5x + xX = 35 + -7.5 Combine like terms: 35 + -7.5 = 27.5 5X + 1.5x + xX = 27.5 Add '-1.5x' to each side of the equation. 5X + 1.5x + -1.5x + xX = 27.5 + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5X + 0.0 + xX = 27.5 + -1.5x 5X + xX = 27.5 + -1.5x Reorder the terms: -27.5 + 5X + 1.5x + xX = 27.5 + -1.5x + -27.5 + 1.5x Reorder the terms: -27.5 + 5X + 1.5x + xX = 27.5 + -27.5 + -1.5x + 1.5x Combine like terms: 27.5 + -27.5 = 0.0 -27.5 + 5X + 1.5x + xX = 0.0 + -1.5x + 1.5x -27.5 + 5X + 1.5x + xX = -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -27.5 + 5X + 1.5x + xX = 0.0 The solution to this equation could not be determined.
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