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Simplifying 4(x + y) + 2(2x + 4y) = 0 (x * 4 + y * 4) + 2(2x + 4y) = 0 (4x + 4y) + 2(2x + 4y) = 0 4x + 4y + (2x * 2 + 4y * 2) = 0 4x + 4y + (4x + 8y) = 0 Reorder the terms: 4x + 4x + 4y + 8y = 0 Combine like terms: 4x + 4x = 8x 8x + 4y + 8y = 0 Combine like terms: 4y + 8y = 12y 8x + 12y = 0 Solving 8x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 8x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 8x + 0 = 0 + -12y 8x = 0 + -12y Remove the zero: 8x = -12y Divide each side by '8'. x = -1.5y Simplifying x = -1.5y
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