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Simplifying 4(x + 9y) + 2(2x + y) = 0 (x * 4 + 9y * 4) + 2(2x + y) = 0 (4x + 36y) + 2(2x + y) = 0 4x + 36y + (2x * 2 + y * 2) = 0 4x + 36y + (4x + 2y) = 0 Reorder the terms: 4x + 4x + 36y + 2y = 0 Combine like terms: 4x + 4x = 8x 8x + 36y + 2y = 0 Combine like terms: 36y + 2y = 38y 8x + 38y = 0 Solving 8x + 38y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38y' to each side of the equation. 8x + 38y + -38y = 0 + -38y Combine like terms: 38y + -38y = 0 8x + 0 = 0 + -38y 8x = 0 + -38y Remove the zero: 8x = -38y Divide each side by '8'. x = -4.75y Simplifying x = -4.75y
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