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Simplifying 2(3x + 2y) + -3(-2x + y) = 0 (3x * 2 + 2y * 2) + -3(-2x + y) = 0 (6x + 4y) + -3(-2x + y) = 0 6x + 4y + (-2x * -3 + y * -3) = 0 6x + 4y + (6x + -3y) = 0 Reorder the terms: 6x + 6x + 4y + -3y = 0 Combine like terms: 6x + 6x = 12x 12x + 4y + -3y = 0 Combine like terms: 4y + -3y = 1y 12x + 1y = 0 Solving 12x + 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. 12x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 12x + 0 = 0 + -1y 12x = 0 + -1y Remove the zero: 12x = -1y Divide each side by '12'. x = -0.08333333333y Simplifying x = -0.08333333333y
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