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Simplifying -3(x + y) + 5(x + -1y) = 0 (x * -3 + y * -3) + 5(x + -1y) = 0 (-3x + -3y) + 5(x + -1y) = 0 -3x + -3y + (x * 5 + -1y * 5) = 0 -3x + -3y + (5x + -5y) = 0 Reorder the terms: -3x + 5x + -3y + -5y = 0 Combine like terms: -3x + 5x = 2x 2x + -3y + -5y = 0 Combine like terms: -3y + -5y = -8y 2x + -8y = 0 Solving 2x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 2x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 2x + 0 = 0 + 8y 2x = 0 + 8y Remove the zero: 2x = 8y Divide each side by '2'. x = 4y Simplifying x = 4y
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