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Simplifying x + -1y = 5x + 8y Solving x + -1y = 5x + 8y 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. x + -5x + -1y = 5x + -5x + 8y Combine like terms: x + -5x = -4x -4x + -1y = 5x + -5x + 8y Combine like terms: 5x + -5x = 0 -4x + -1y = 0 + 8y -4x + -1y = 8y Add 'y' to each side of the equation. -4x + -1y + y = 8y + y Combine like terms: -1y + y = 0 -4x + 0 = 8y + y -4x = 8y + y Combine like terms: 8y + y = 9y -4x = 9y Divide each side by '-4'. x = -2.25y Simplifying x = -2.25y
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