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Simplifying 1000 + 50x + 5x = 30x + 20x Combine like terms: 50x + 5x = 55x 1000 + 55x = 30x + 20x Combine like terms: 30x + 20x = 50x 1000 + 55x = 50x Solving 1000 + 55x = 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 1000 + 55x + -50x = 50x + -50x Combine like terms: 55x + -50x = 5x 1000 + 5x = 50x + -50x Combine like terms: 50x + -50x = 0 1000 + 5x = 0 Add '-1000' to each side of the equation. 1000 + -1000 + 5x = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 5x = 0 + -1000 5x = 0 + -1000 Combine like terms: 0 + -1000 = -1000 5x = -1000 Divide each side by '5'. x = -200 Simplifying x = -200
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