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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 '-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 = -1y Simplifying x = -1y
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