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Simplifying 4(2x + 3y) + 2(5y + 3x) = 0 (2x * 4 + 3y * 4) + 2(5y + 3x) = 0 (8x + 12y) + 2(5y + 3x) = 0 Reorder the terms: 8x + 12y + 2(3x + 5y) = 0 8x + 12y + (3x * 2 + 5y * 2) = 0 8x + 12y + (6x + 10y) = 0 Reorder the terms: 8x + 6x + 12y + 10y = 0 Combine like terms: 8x + 6x = 14x 14x + 12y + 10y = 0 Combine like terms: 12y + 10y = 22y 14x + 22y = 0 Solving 14x + 22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22y' to each side of the equation. 14x + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 14x + 0 = 0 + -22y 14x = 0 + -22y Remove the zero: 14x = -22y Divide each side by '14'. x = -1.571428571y Simplifying x = -1.571428571y
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