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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 = -22y 4x + -22y = 0 Solving 4x + -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. 4x + -22y + 22y = 0 + 22y Combine like terms: -22y + 22y = 0 4x + 0 = 0 + 22y 4x = 0 + 22y Remove the zero: 4x = 22y Divide each side by '4'. x = 5.5y Simplifying x = 5.5y
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