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