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Simplifying -9(2x + -1y) + -1(x + -1y) = 0 (2x * -9 + -1y * -9) + -1(x + -1y) = 0 (-18x + 9y) + -1(x + -1y) = 0 -18x + 9y + (x * -1 + -1y * -1) = 0 -18x + 9y + (-1x + 1y) = 0 Reorder the terms: -18x + -1x + 9y + 1y = 0 Combine like terms: -18x + -1x = -19x -19x + 9y + 1y = 0 Combine like terms: 9y + 1y = 10y -19x + 10y = 0 Solving -19x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. -19x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -19x + 0 = 0 + -10y -19x = 0 + -10y Remove the zero: -19x = -10y Divide each side by '-19'. x = 0.5263157895y Simplifying x = 0.5263157895y
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