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Simplifying 2x + 3y + -4x + -2(x + y) = 0 2x + 3y + -4x + (x * -2 + y * -2) = 0 2x + 3y + -4x + (-2x + -2y) = 0 Reorder the terms: 2x + -4x + -2x + 3y + -2y = 0 Combine like terms: 2x + -4x = -2x -2x + -2x + 3y + -2y = 0 Combine like terms: -2x + -2x = -4x -4x + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y -4x + 1y = 0 Solving -4x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -4x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 -4x + 0 = 0 + -1y -4x = 0 + -1y Remove the zero: -4x = -1y Divide each side by '-4'. x = 0.25y Simplifying x = 0.25y
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