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Simplifying x + 2(x + 1) + 3(y + -1) = 0 Reorder the terms: x + 2(1 + x) + 3(y + -1) = 0 x + (1 * 2 + x * 2) + 3(y + -1) = 0 x + (2 + 2x) + 3(y + -1) = 0 Reorder the terms: x + 2 + 2x + 3(-1 + y) = 0 x + 2 + 2x + (-1 * 3 + y * 3) = 0 x + 2 + 2x + (-3 + 3y) = 0 Reorder the terms: 2 + -3 + x + 2x + 3y = 0 Combine like terms: 2 + -3 = -1 -1 + x + 2x + 3y = 0 Combine like terms: x + 2x = 3x -1 + 3x + 3y = 0 Solving -1 + 3x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3x + 1 + 3y = 0 + 1 Reorder the terms: -1 + 1 + 3x + 3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x + 3y = 0 + 1 3x + 3y = 0 + 1 Combine like terms: 0 + 1 = 1 3x + 3y = 1 Add '-3y' to each side of the equation. 3x + 3y + -3y = 1 + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 1 + -3y 3x = 1 + -3y Divide each side by '3'. x = 0.3333333333 + -1y Simplifying x = 0.3333333333 + -1y
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