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Simplifying 200x + -100x + 48500 = 50250 + -150x Reorder the terms: 48500 + 200x + -100x = 50250 + -150x Combine like terms: 200x + -100x = 100x 48500 + 100x = 50250 + -150x Solving 48500 + 100x = 50250 + -150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150x' to each side of the equation. 48500 + 100x + 150x = 50250 + -150x + 150x Combine like terms: 100x + 150x = 250x 48500 + 250x = 50250 + -150x + 150x Combine like terms: -150x + 150x = 0 48500 + 250x = 50250 + 0 48500 + 250x = 50250 Add '-48500' to each side of the equation. 48500 + -48500 + 250x = 50250 + -48500 Combine like terms: 48500 + -48500 = 0 0 + 250x = 50250 + -48500 250x = 50250 + -48500 Combine like terms: 50250 + -48500 = 1750 250x = 1750 Divide each side by '250'. x = 7 Simplifying x = 7
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