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Simplifying 7x + -1y + -1 = 9y + 5x + 10 Reorder the terms: -1 + 7x + -1y = 9y + 5x + 10 Reorder the terms: -1 + 7x + -1y = 10 + 5x + 9y Solving -1 + 7x + -1y = 10 + 5x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 7x + -5x + -1y = 10 + 5x + -5x + 9y Combine like terms: 7x + -5x = 2x -1 + 2x + -1y = 10 + 5x + -5x + 9y Combine like terms: 5x + -5x = 0 -1 + 2x + -1y = 10 + 0 + 9y -1 + 2x + -1y = 10 + 9y Add '1' to each side of the equation. -1 + 2x + 1 + -1y = 10 + 1 + 9y Reorder the terms: -1 + 1 + 2x + -1y = 10 + 1 + 9y Combine like terms: -1 + 1 = 0 0 + 2x + -1y = 10 + 1 + 9y 2x + -1y = 10 + 1 + 9y Combine like terms: 10 + 1 = 11 2x + -1y = 11 + 9y Add 'y' to each side of the equation. 2x + -1y + y = 11 + 9y + y Combine like terms: -1y + y = 0 2x + 0 = 11 + 9y + y 2x = 11 + 9y + y Combine like terms: 9y + y = 10y 2x = 11 + 10y Divide each side by '2'. x = 5.5 + 5y Simplifying x = 5.5 + 5y
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