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Simplifying 100x + 500 = -50x Reorder the terms: 500 + 100x = -50x Solving 500 + 100x = -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 = -50x + 50x Combine like terms: 100x + 50x = 150x 500 + 150x = -50x + 50x Combine like terms: -50x + 50x = 0 500 + 150x = 0 Add '-500' to each side of the equation. 500 + -500 + 150x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + 150x = 0 + -500 150x = 0 + -500 Combine like terms: 0 + -500 = -500 150x = -500 Divide each side by '150'. x = -3.333333333 Simplifying x = -3.333333333
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