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Simplifying 5(x + 100) + 5x = 0 Reorder the terms: 5(100 + x) + 5x = 0 (100 * 5 + x * 5) + 5x = 0 (500 + 5x) + 5x = 0 Combine like terms: 5x + 5x = 10x 500 + 10x = 0 Solving 500 + 10x = 0 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 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + 10x = 0 + -500 10x = 0 + -500 Combine like terms: 0 + -500 = -500 10x = -500 Divide each side by '10'. x = -50 Simplifying x = -50
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