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Simplifying 100x + -200 = 50 + -150x Reorder the terms: -200 + 100x = 50 + -150x Solving -200 + 100x = 50 + -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. -200 + 100x + 150x = 50 + -150x + 150x Combine like terms: 100x + 150x = 250x -200 + 250x = 50 + -150x + 150x Combine like terms: -150x + 150x = 0 -200 + 250x = 50 + 0 -200 + 250x = 50 Add '200' to each side of the equation. -200 + 200 + 250x = 50 + 200 Combine like terms: -200 + 200 = 0 0 + 250x = 50 + 200 250x = 50 + 200 Combine like terms: 50 + 200 = 250 250x = 250 Divide each side by '250'. x = 1 Simplifying x = 1
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