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Simplifying (X + 20)(x + 30) = 2100 + 4x Reorder the terms: (20 + X)(x + 30) = 2100 + 4x Reorder the terms: (20 + X)(30 + x) = 2100 + 4x Multiply (20 + X) * (30 + x) (20(30 + x) + X(30 + x)) = 2100 + 4x ((30 * 20 + x * 20) + X(30 + x)) = 2100 + 4x ((600 + 20x) + X(30 + x)) = 2100 + 4x (600 + 20x + (30 * X + x * X)) = 2100 + 4x (600 + 20x + (30X + xX)) = 2100 + 4x Reorder the terms: (600 + 30X + 20x + xX) = 2100 + 4x (600 + 30X + 20x + xX) = 2100 + 4x Solving 600 + 30X + 20x + xX = 2100 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + 30X + 20x + -600 + xX = 2100 + -600 + 4x Reorder the terms: 600 + -600 + 30X + 20x + xX = 2100 + -600 + 4x Combine like terms: 600 + -600 = 0 0 + 30X + 20x + xX = 2100 + -600 + 4x 30X + 20x + xX = 2100 + -600 + 4x Combine like terms: 2100 + -600 = 1500 30X + 20x + xX = 1500 + 4x Add '-20x' to each side of the equation. 30X + 20x + -20x + xX = 1500 + 4x + -20x Combine like terms: 20x + -20x = 0 30X + 0 + xX = 1500 + 4x + -20x 30X + xX = 1500 + 4x + -20x Combine like terms: 4x + -20x = -16x 30X + xX = 1500 + -16x Reorder the terms: -1500 + 30X + 16x + xX = 1500 + -16x + -1500 + 16x Reorder the terms: -1500 + 30X + 16x + xX = 1500 + -1500 + -16x + 16x Combine like terms: 1500 + -1500 = 0 -1500 + 30X + 16x + xX = 0 + -16x + 16x -1500 + 30X + 16x + xX = -16x + 16x Combine like terms: -16x + 16x = 0 -1500 + 30X + 16x + xX = 0 The solution to this equation could not be determined.
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