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Simplifying 3(x + 2y) + -2(3x + -1y) = 0 (x * 3 + 2y * 3) + -2(3x + -1y) = 0 (3x + 6y) + -2(3x + -1y) = 0 3x + 6y + (3x * -2 + -1y * -2) = 0 3x + 6y + (-6x + 2y) = 0 Reorder the terms: 3x + -6x + 6y + 2y = 0 Combine like terms: 3x + -6x = -3x -3x + 6y + 2y = 0 Combine like terms: 6y + 2y = 8y -3x + 8y = 0 Solving -3x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -3x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -3x + 0 = 0 + -8y -3x = 0 + -8y Remove the zero: -3x = -8y Divide each side by '-3'. x = 2.666666667y Simplifying x = 2.666666667y
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