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Simplifying (10y + x) + -1(10x + y) = (10x + y) + (10y + x) Reorder the terms: (x + 10y) + -1(10x + y) = (10x + y) + (10y + x) Remove parenthesis around (x + 10y) x + 10y + -1(10x + y) = (10x + y) + (10y + x) x + 10y + (10x * -1 + y * -1) = (10x + y) + (10y + x) x + 10y + (-10x + -1y) = (10x + y) + (10y + x) Reorder the terms: x + -10x + 10y + -1y = (10x + y) + (10y + x) Combine like terms: x + -10x = -9x -9x + 10y + -1y = (10x + y) + (10y + x) Combine like terms: 10y + -1y = 9y -9x + 9y = (10x + y) + (10y + x) Remove parenthesis around (10x + y) -9x + 9y = 10x + y + (10y + x) Reorder the terms: -9x + 9y = 10x + y + (x + 10y) Remove parenthesis around (x + 10y) -9x + 9y = 10x + y + x + 10y Reorder the terms: -9x + 9y = 10x + x + y + 10y Combine like terms: 10x + x = 11x -9x + 9y = 11x + y + 10y Combine like terms: y + 10y = 11y -9x + 9y = 11x + 11y Solving -9x + 9y = 11x + 11y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -9x + -11x + 9y = 11x + -11x + 11y Combine like terms: -9x + -11x = -20x -20x + 9y = 11x + -11x + 11y Combine like terms: 11x + -11x = 0 -20x + 9y = 0 + 11y -20x + 9y = 11y Add '-9y' to each side of the equation. -20x + 9y + -9y = 11y + -9y Combine like terms: 9y + -9y = 0 -20x + 0 = 11y + -9y -20x = 11y + -9y Combine like terms: 11y + -9y = 2y -20x = 2y Divide each side by '-20'. x = -0.1y Simplifying x = -0.1y
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