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Simplifying (-1x + -5y) + -1(2x + -9y) = 0 Remove parenthesis around (-1x + -5y) -1x + -5y + -1(2x + -9y) = 0 -1x + -5y + (2x * -1 + -9y * -1) = 0 -1x + -5y + (-2x + 9y) = 0 Reorder the terms: -1x + -2x + -5y + 9y = 0 Combine like terms: -1x + -2x = -3x -3x + -5y + 9y = 0 Combine like terms: -5y + 9y = 4y -3x + 4y = 0 Solving -3x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -3x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -3x + 0 = 0 + -4y -3x = 0 + -4y Remove the zero: -3x = -4y Divide each side by '-3'. x = 1.333333333y Simplifying x = 1.333333333y
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