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Simplifying 3y + -1[2y + 3x + -1(2x + -3y)] + 4x = 0 3y + -1[2y + 3x + (2x * -1 + -3y * -1)] + 4x = 0 3y + -1[2y + 3x + (-2x + 3y)] + 4x = 0 Reorder the terms: 3y + -1[3x + -2x + 2y + 3y] + 4x = 0 Combine like terms: 3x + -2x = 1x 3y + -1[1x + 2y + 3y] + 4x = 0 Combine like terms: 2y + 3y = 5y 3y + -1[1x + 5y] + 4x = 0 3y + [1x * -1 + 5y * -1] + 4x = 0 3y + [-1x + -5y] + 4x = 0 Reorder the terms: -1x + 4x + 3y + -5y = 0 Combine like terms: -1x + 4x = 3x 3x + 3y + -5y = 0 Combine like terms: 3y + -5y = -2y 3x + -2y = 0 Solving 3x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 0 + 2y 3x = 0 + 2y Remove the zero: 3x = 2y Divide each side by '3'. x = 0.6666666667y Simplifying x = 0.6666666667y
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