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Simplifying 3x + 4y + -1(x + y) = 0 3x + 4y + (x * -1 + y * -1) = 0 3x + 4y + (-1x + -1y) = 0 Reorder the terms: 3x + -1x + 4y + -1y = 0 Combine like terms: 3x + -1x = 2x 2x + 4y + -1y = 0 Combine like terms: 4y + -1y = 3y 2x + 3y = 0 Solving 2x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5y
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