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Simplifying ((3x + -2y) + -1(5x + 3y)) = 0 Remove parenthesis around (3x + -2y) (3x + -2y + -1(5x + 3y)) = 0 (3x + -2y + (5x * -1 + 3y * -1)) = 0 (3x + -2y + (-5x + -3y)) = 0 Reorder the terms: (3x + -5x + -2y + -3y) = 0 Combine like terms: 3x + -5x = -2x (-2x + -2y + -3y) = 0 Combine like terms: -2y + -3y = -5y (-2x + -5y) = 0 Remove parenthesis around (-2x + -5y) -2x + -5y = 0 Solving -2x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. -2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 -2x + 0 = 0 + 5y -2x = 0 + 5y Remove the zero: -2x = 5y Divide each side by '-2'. x = -2.5y Simplifying x = -2.5y
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