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Simplifying 5000 = 0.4x(45) + 0.6x(5) Reorder the terms for easier multiplication: 5000 = 0.4 * 45x + 0.6x(5) Multiply 0.4 * 45 5000 = 18x + 0.6x(5) Reorder the terms for easier multiplication: 5000 = 18x + 0.6 * 5x Multiply 0.6 * 5 5000 = 18x + 3x Combine like terms: 18x + 3x = 21x 5000 = 21x Solving 5000 = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 5000 + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 5000 + -21x = 0 Add '-5000' to each side of the equation. 5000 + -5000 + -21x = 0 + -5000 Combine like terms: 5000 + -5000 = 0 0 + -21x = 0 + -5000 -21x = 0 + -5000 Combine like terms: 0 + -5000 = -5000 -21x = -5000 Divide each side by '-21'. x = 238.0952381 Simplifying x = 238.0952381
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