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Simplifying 75(x + 4000) = 80x + 50(1000) Reorder the terms: 75(4000 + x) = 80x + 50(1000) (4000 * 75 + x * 75) = 80x + 50(1000) (300000 + 75x) = 80x + 50(1000) Multiply 50 * 1000 300000 + 75x = 80x + 50000 Reorder the terms: 300000 + 75x = 50000 + 80x Solving 300000 + 75x = 50000 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 300000 + 75x + -80x = 50000 + 80x + -80x Combine like terms: 75x + -80x = -5x 300000 + -5x = 50000 + 80x + -80x Combine like terms: 80x + -80x = 0 300000 + -5x = 50000 + 0 300000 + -5x = 50000 Add '-300000' to each side of the equation. 300000 + -300000 + -5x = 50000 + -300000 Combine like terms: 300000 + -300000 = 0 0 + -5x = 50000 + -300000 -5x = 50000 + -300000 Combine like terms: 50000 + -300000 = -250000 -5x = -250000 Divide each side by '-5'. x = 50000 Simplifying x = 50000
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