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Simplifying 3(y + 2) + -2(3 + -1x) = 0 Reorder the terms: 3(2 + y) + -2(3 + -1x) = 0 (2 * 3 + y * 3) + -2(3 + -1x) = 0 (6 + 3y) + -2(3 + -1x) = 0 6 + 3y + (3 * -2 + -1x * -2) = 0 6 + 3y + (-6 + 2x) = 0 Reorder the terms: 6 + -6 + 2x + 3y = 0 Combine like terms: 6 + -6 = 0 0 + 2x + 3y = 0 2x + 3y = 0 Solving 2x + 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. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5y
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