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