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Simplifying 2(x + 2y) + 3(2x + -1y) = 0 (x * 2 + 2y * 2) + 3(2x + -1y) = 0 (2x + 4y) + 3(2x + -1y) = 0 2x + 4y + (2x * 3 + -1y * 3) = 0 2x + 4y + (6x + -3y) = 0 Reorder the terms: 2x + 6x + 4y + -3y = 0 Combine like terms: 2x + 6x = 8x 8x + 4y + -3y = 0 Combine like terms: 4y + -3y = 1y 8x + 1y = 0 Solving 8x + 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. 8x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 8x + 0 = 0 + -1y 8x = 0 + -1y Remove the zero: 8x = -1y Divide each side by '8'. x = -0.125y Simplifying x = -0.125y
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