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Simplifying (-4x + -5y) + -1(5x + y) = 0 Remove parenthesis around (-4x + -5y) -4x + -5y + -1(5x + y) = 0 -4x + -5y + (5x * -1 + y * -1) = 0 -4x + -5y + (-5x + -1y) = 0 Reorder the terms: -4x + -5x + -5y + -1y = 0 Combine like terms: -4x + -5x = -9x -9x + -5y + -1y = 0 Combine like terms: -5y + -1y = -6y -9x + -6y = 0 Solving -9x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. -9x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 -9x + 0 = 0 + 6y -9x = 0 + 6y Remove the zero: -9x = 6y Divide each side by '-9'. x = -0.6666666667y Simplifying x = -0.6666666667y
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