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Simplifying 9(x + 2y) + -1(5x + 4y) = 0 (x * 9 + 2y * 9) + -1(5x + 4y) = 0 (9x + 18y) + -1(5x + 4y) = 0 9x + 18y + (5x * -1 + 4y * -1) = 0 9x + 18y + (-5x + -4y) = 0 Reorder the terms: 9x + -5x + 18y + -4y = 0 Combine like terms: 9x + -5x = 4x 4x + 18y + -4y = 0 Combine like terms: 18y + -4y = 14y 4x + 14y = 0 Solving 4x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. 4x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 4x + 0 = 0 + -14y 4x = 0 + -14y Remove the zero: 4x = -14y Divide each side by '4'. x = -3.5y Simplifying x = -3.5y
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