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Simplifying -3(2x + -1y) + 2y + 2(x + y) = 0 (2x * -3 + -1y * -3) + 2y + 2(x + y) = 0 (-6x + 3y) + 2y + 2(x + y) = 0 -6x + 3y + 2y + (x * 2 + y * 2) = 0 -6x + 3y + 2y + (2x + 2y) = 0 Reorder the terms: -6x + 2x + 3y + 2y + 2y = 0 Combine like terms: -6x + 2x = -4x -4x + 3y + 2y + 2y = 0 Combine like terms: 3y + 2y = 5y -4x + 5y + 2y = 0 Combine like terms: 5y + 2y = 7y -4x + 7y = 0 Solving -4x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -4x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -4x + 0 = 0 + -7y -4x = 0 + -7y Remove the zero: -4x = -7y Divide each side by '-4'. x = 1.75y Simplifying x = 1.75y
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