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Simplifying (2y + 5xy + -4) + (5y + -3xy + 78) = 275 Reorder the terms: (-4 + 5xy + 2y) + (5y + -3xy + 78) = 275 Remove parenthesis around (-4 + 5xy + 2y) -4 + 5xy + 2y + (5y + -3xy + 78) = 275 Reorder the terms: -4 + 5xy + 2y + (78 + -3xy + 5y) = 275 Remove parenthesis around (78 + -3xy + 5y) -4 + 5xy + 2y + 78 + -3xy + 5y = 275 Reorder the terms: -4 + 78 + 5xy + -3xy + 2y + 5y = 275 Combine like terms: -4 + 78 = 74 74 + 5xy + -3xy + 2y + 5y = 275 Combine like terms: 5xy + -3xy = 2xy 74 + 2xy + 2y + 5y = 275 Combine like terms: 2y + 5y = 7y 74 + 2xy + 7y = 275 Solving 74 + 2xy + 7y = 275 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + 2xy + -74 + 7y = 275 + -74 Reorder the terms: 74 + -74 + 2xy + 7y = 275 + -74 Combine like terms: 74 + -74 = 0 0 + 2xy + 7y = 275 + -74 2xy + 7y = 275 + -74 Combine like terms: 275 + -74 = 201 2xy + 7y = 201 Add '-7y' to each side of the equation. 2xy + 7y + -7y = 201 + -7y Combine like terms: 7y + -7y = 0 2xy + 0 = 201 + -7y 2xy = 201 + -7y Divide each side by '2y'. x = 100.5y-1 + -3.5 Simplifying x = 100.5y-1 + -3.5 Reorder the terms: x = -3.5 + 100.5y-1
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