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Simplifying 5(x + 100) + 5x = 2000 Reorder the terms: 5(100 + x) + 5x = 2000 (100 * 5 + x * 5) + 5x = 2000 (500 + 5x) + 5x = 2000 Combine like terms: 5x + 5x = 10x 500 + 10x = 2000 Solving 500 + 10x = 2000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + 10x = 2000 + -500 Combine like terms: 500 + -500 = 0 0 + 10x = 2000 + -500 10x = 2000 + -500 Combine like terms: 2000 + -500 = 1500 10x = 1500 Divide each side by '10'. x = 150 Simplifying x = 150
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