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Simplifying (2x + -3y) + -1(x + -2y) = 0 Remove parenthesis around (2x + -3y) 2x + -3y + -1(x + -2y) = 0 2x + -3y + (x * -1 + -2y * -1) = 0 2x + -3y + (-1x + 2y) = 0 Reorder the terms: 2x + -1x + -3y + 2y = 0 Combine like terms: 2x + -1x = 1x 1x + -3y + 2y = 0 Combine like terms: -3y + 2y = -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 'y' to each side of the equation. 1x + -1y + y = 0 + y Combine like terms: -1y + y = 0 1x + 0 = 0 + y 1x = 0 + y Remove the zero: 1x = y Divide each side by '1'. x = y Simplifying x = y
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