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Simplifying 3(x + -1y) + -2(2x + -3y) = 0 (x * 3 + -1y * 3) + -2(2x + -3y) = 0 (3x + -3y) + -2(2x + -3y) = 0 3x + -3y + (2x * -2 + -3y * -2) = 0 3x + -3y + (-4x + 6y) = 0 Reorder the terms: 3x + -4x + -3y + 6y = 0 Combine like terms: 3x + -4x = -1x -1x + -3y + 6y = 0 Combine like terms: -3y + 6y = 3y -1x + 3y = 0 Solving -1x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -1x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 0 + -3y -1x = 0 + -3y Remove the zero: -1x = -3y Divide each side by '-1'. x = 3y Simplifying x = 3y
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