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