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Simplifying 350x + -500 = 100x + 750 Reorder the terms: -500 + 350x = 100x + 750 Reorder the terms: -500 + 350x = 750 + 100x Solving -500 + 350x = 750 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -500 + 350x + -100x = 750 + 100x + -100x Combine like terms: 350x + -100x = 250x -500 + 250x = 750 + 100x + -100x Combine like terms: 100x + -100x = 0 -500 + 250x = 750 + 0 -500 + 250x = 750 Add '500' to each side of the equation. -500 + 500 + 250x = 750 + 500 Combine like terms: -500 + 500 = 0 0 + 250x = 750 + 500 250x = 750 + 500 Combine like terms: 750 + 500 = 1250 250x = 1250 Divide each side by '250'. x = 5 Simplifying x = 5
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