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Simplifying 10x + 500 = 5x + 1000 Reorder the terms: 500 + 10x = 5x + 1000 Reorder the terms: 500 + 10x = 1000 + 5x Solving 500 + 10x = 1000 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 500 + 10x + -5x = 1000 + 5x + -5x Combine like terms: 10x + -5x = 5x 500 + 5x = 1000 + 5x + -5x Combine like terms: 5x + -5x = 0 500 + 5x = 1000 + 0 500 + 5x = 1000 Add '-500' to each side of the equation. 500 + -500 + 5x = 1000 + -500 Combine like terms: 500 + -500 = 0 0 + 5x = 1000 + -500 5x = 1000 + -500 Combine like terms: 1000 + -500 = 500 5x = 500 Divide each side by '5'. x = 100 Simplifying x = 100
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