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Simplifying 2(3x + -1) + 3(3y + -1y + -1x) = 0 Reorder the terms: 2(-1 + 3x) + 3(3y + -1y + -1x) = 0 (-1 * 2 + 3x * 2) + 3(3y + -1y + -1x) = 0 (-2 + 6x) + 3(3y + -1y + -1x) = 0 Reorder the terms: -2 + 6x + 3(-1x + 3y + -1y) = 0 Combine like terms: 3y + -1y = 2y -2 + 6x + 3(-1x + 2y) = 0 -2 + 6x + (-1x * 3 + 2y * 3) = 0 -2 + 6x + (-3x + 6y) = 0 Combine like terms: 6x + -3x = 3x -2 + 3x + 6y = 0 Solving -2 + 3x + 6y = 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 + 6y = 0 + 2 Reorder the terms: -2 + 2 + 3x + 6y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x + 6y = 0 + 2 3x + 6y = 0 + 2 Combine like terms: 0 + 2 = 2 3x + 6y = 2 Add '-6y' to each side of the equation. 3x + 6y + -6y = 2 + -6y Combine like terms: 6y + -6y = 0 3x + 0 = 2 + -6y 3x = 2 + -6y Divide each side by '3'. x = 0.6666666667 + -2y Simplifying x = 0.6666666667 + -2y
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