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Simplifying 4(x + 5y) + 3(x + 6y) + 6(3x + 8y) = 0 (x * 4 + 5y * 4) + 3(x + 6y) + 6(3x + 8y) = 0 (4x + 20y) + 3(x + 6y) + 6(3x + 8y) = 0 4x + 20y + (x * 3 + 6y * 3) + 6(3x + 8y) = 0 4x + 20y + (3x + 18y) + 6(3x + 8y) = 0 4x + 20y + 3x + 18y + (3x * 6 + 8y * 6) = 0 4x + 20y + 3x + 18y + (18x + 48y) = 0 Reorder the terms: 4x + 3x + 18x + 20y + 18y + 48y = 0 Combine like terms: 4x + 3x = 7x 7x + 18x + 20y + 18y + 48y = 0 Combine like terms: 7x + 18x = 25x 25x + 20y + 18y + 48y = 0 Combine like terms: 20y + 18y = 38y 25x + 38y + 48y = 0 Combine like terms: 38y + 48y = 86y 25x + 86y = 0 Solving 25x + 86y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86y' to each side of the equation. 25x + 86y + -86y = 0 + -86y Combine like terms: 86y + -86y = 0 25x + 0 = 0 + -86y 25x = 0 + -86y Remove the zero: 25x = -86y Divide each side by '25'. x = -3.44y Simplifying x = -3.44y
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