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