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Simplifying 6x + -1y + -4 = x + -9y + 1 Reorder the terms: -4 + 6x + -1y = x + -9y + 1 Reorder the terms: -4 + 6x + -1y = 1 + x + -9y Solving -4 + 6x + -1y = 1 + x + -9y 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. -4 + 6x + -1x + -1y = 1 + x + -1x + -9y Combine like terms: 6x + -1x = 5x -4 + 5x + -1y = 1 + x + -1x + -9y Combine like terms: x + -1x = 0 -4 + 5x + -1y = 1 + 0 + -9y -4 + 5x + -1y = 1 + -9y Add '4' to each side of the equation. -4 + 5x + 4 + -1y = 1 + 4 + -9y Reorder the terms: -4 + 4 + 5x + -1y = 1 + 4 + -9y Combine like terms: -4 + 4 = 0 0 + 5x + -1y = 1 + 4 + -9y 5x + -1y = 1 + 4 + -9y Combine like terms: 1 + 4 = 5 5x + -1y = 5 + -9y Add 'y' to each side of the equation. 5x + -1y + y = 5 + -9y + y Combine like terms: -1y + y = 0 5x + 0 = 5 + -9y + y 5x = 5 + -9y + y Combine like terms: -9y + y = -8y 5x = 5 + -8y Divide each side by '5'. x = 1 + -1.6y Simplifying x = 1 + -1.6y
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