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Simplifying 2(2x + y) + -1(2x + 3y) = 0 (2x * 2 + y * 2) + -1(2x + 3y) = 0 (4x + 2y) + -1(2x + 3y) = 0 4x + 2y + (2x * -1 + 3y * -1) = 0 4x + 2y + (-2x + -3y) = 0 Reorder the terms: 4x + -2x + 2y + -3y = 0 Combine like terms: 4x + -2x = 2x 2x + 2y + -3y = 0 Combine like terms: 2y + -3y = -1y 2x + -1y = 0 Solving 2x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5y
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