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Simplifying 9(2x + -1y) + -1(3x + -2y) = 0 (2x * 9 + -1y * 9) + -1(3x + -2y) = 0 (18x + -9y) + -1(3x + -2y) = 0 18x + -9y + (3x * -1 + -2y * -1) = 0 18x + -9y + (-3x + 2y) = 0 Reorder the terms: 18x + -3x + -9y + 2y = 0 Combine like terms: 18x + -3x = 15x 15x + -9y + 2y = 0 Combine like terms: -9y + 2y = -7y 15x + -7y = 0 Solving 15x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 15x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 15x + 0 = 0 + 7y 15x = 0 + 7y Remove the zero: 15x = 7y Divide each side by '15'. x = 0.4666666667y Simplifying x = 0.4666666667y
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