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Simplifying 3x + -2y + 6 + -6x + 5y + -8 = 0 Reorder the terms: 6 + -8 + 3x + -6x + -2y + 5y = 0 Combine like terms: 6 + -8 = -2 -2 + 3x + -6x + -2y + 5y = 0 Combine like terms: 3x + -6x = -3x -2 + -3x + -2y + 5y = 0 Combine like terms: -2y + 5y = 3y -2 + -3x + 3y = 0 Solving -2 + -3x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3x + 2 + 3y = 0 + 2 Reorder the terms: -2 + 2 + -3x + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x + 3y = 0 + 2 -3x + 3y = 0 + 2 Combine like terms: 0 + 2 = 2 -3x + 3y = 2 Add '-3y' to each side of the equation. -3x + 3y + -3y = 2 + -3y Combine like terms: 3y + -3y = 0 -3x + 0 = 2 + -3y -3x = 2 + -3y Divide each side by '-3'. x = -0.6666666667 + y Simplifying x = -0.6666666667 + y
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