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Simplifying 90x + 45y + -15 = 80x + 85y + 5 Reorder the terms: -15 + 90x + 45y = 80x + 85y + 5 Reorder the terms: -15 + 90x + 45y = 5 + 80x + 85y Solving -15 + 90x + 45y = 5 + 80x + 85y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. -15 + 90x + -80x + 45y = 5 + 80x + -80x + 85y Combine like terms: 90x + -80x = 10x -15 + 10x + 45y = 5 + 80x + -80x + 85y Combine like terms: 80x + -80x = 0 -15 + 10x + 45y = 5 + 0 + 85y -15 + 10x + 45y = 5 + 85y Add '15' to each side of the equation. -15 + 10x + 15 + 45y = 5 + 15 + 85y Reorder the terms: -15 + 15 + 10x + 45y = 5 + 15 + 85y Combine like terms: -15 + 15 = 0 0 + 10x + 45y = 5 + 15 + 85y 10x + 45y = 5 + 15 + 85y Combine like terms: 5 + 15 = 20 10x + 45y = 20 + 85y Add '-45y' to each side of the equation. 10x + 45y + -45y = 20 + 85y + -45y Combine like terms: 45y + -45y = 0 10x + 0 = 20 + 85y + -45y 10x = 20 + 85y + -45y Combine like terms: 85y + -45y = 40y 10x = 20 + 40y Divide each side by '10'. x = 2 + 4y Simplifying x = 2 + 4y
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