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