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Simplifying 150x + -100x + 48750 = 50500 + -200x Reorder the terms: 48750 + 150x + -100x = 50500 + -200x Combine like terms: 150x + -100x = 50x 48750 + 50x = 50500 + -200x Solving 48750 + 50x = 50500 + -200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '200x' to each side of the equation. 48750 + 50x + 200x = 50500 + -200x + 200x Combine like terms: 50x + 200x = 250x 48750 + 250x = 50500 + -200x + 200x Combine like terms: -200x + 200x = 0 48750 + 250x = 50500 + 0 48750 + 250x = 50500 Add '-48750' to each side of the equation. 48750 + -48750 + 250x = 50500 + -48750 Combine like terms: 48750 + -48750 = 0 0 + 250x = 50500 + -48750 250x = 50500 + -48750 Combine like terms: 50500 + -48750 = 1750 250x = 1750 Divide each side by '250'. x = 7 Simplifying x = 7
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