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Simplifying 2[3(x + y) + -1] + -5y + 6x = 0 2[(x * 3 + y * 3) + -1] + -5y + 6x = 0 2[(3x + 3y) + -1] + -5y + 6x = 0 Reorder the terms: 2[-1 + 3x + 3y] + -5y + 6x = 0 [-1 * 2 + 3x * 2 + 3y * 2] + -5y + 6x = 0 [-2 + 6x + 6y] + -5y + 6x = 0 Reorder the terms: -2 + 6x + 6x + 6y + -5y = 0 Combine like terms: 6x + 6x = 12x -2 + 12x + 6y + -5y = 0 Combine like terms: 6y + -5y = 1y -2 + 12x + 1y = 0 Solving -2 + 12x + 1y = 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 + 12x + 2 + 1y = 0 + 2 Reorder the terms: -2 + 2 + 12x + 1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12x + 1y = 0 + 2 12x + 1y = 0 + 2 Combine like terms: 0 + 2 = 2 12x + 1y = 2 Add '-1y' to each side of the equation. 12x + 1y + -1y = 2 + -1y Combine like terms: 1y + -1y = 0 12x + 0 = 2 + -1y 12x = 2 + -1y Divide each side by '12'. x = 0.1666666667 + -0.08333333333y Simplifying x = 0.1666666667 + -0.08333333333y
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