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