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Simplifying (5x + -9y) + -1(9x + -5y) = 0 Remove parenthesis around (5x + -9y) 5x + -9y + -1(9x + -5y) = 0 5x + -9y + (9x * -1 + -5y * -1) = 0 5x + -9y + (-9x + 5y) = 0 Reorder the terms: 5x + -9x + -9y + 5y = 0 Combine like terms: 5x + -9x = -4x -4x + -9y + 5y = 0 Combine like terms: -9y + 5y = -4y -4x + -4y = 0 Solving -4x + -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. -4x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 -4x + 0 = 0 + 4y -4x = 0 + 4y Remove the zero: -4x = 4y Divide each side by '-4'. x = -1y Simplifying x = -1y
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