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Simplifying 100x + 500 = 50x + 600 Reorder the terms: 500 + 100x = 50x + 600 Reorder the terms: 500 + 100x = 600 + 50x Solving 500 + 100x = 600 + 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. 500 + 100x + -50x = 600 + 50x + -50x Combine like terms: 100x + -50x = 50x 500 + 50x = 600 + 50x + -50x Combine like terms: 50x + -50x = 0 500 + 50x = 600 + 0 500 + 50x = 600 Add '-500' to each side of the equation. 500 + -500 + 50x = 600 + -500 Combine like terms: 500 + -500 = 0 0 + 50x = 600 + -500 50x = 600 + -500 Combine like terms: 600 + -500 = 100 50x = 100 Divide each side by '50'. x = 2 Simplifying x = 2
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