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Simplifying (3x + -6y + -2) + (7 + -3y + -12x) = 0 Reorder the terms: (-2 + 3x + -6y) + (7 + -3y + -12x) = 0 Remove parenthesis around (-2 + 3x + -6y) -2 + 3x + -6y + (7 + -3y + -12x) = 0 Reorder the terms: -2 + 3x + -6y + (7 + -12x + -3y) = 0 Remove parenthesis around (7 + -12x + -3y) -2 + 3x + -6y + 7 + -12x + -3y = 0 Reorder the terms: -2 + 7 + 3x + -12x + -6y + -3y = 0 Combine like terms: -2 + 7 = 5 5 + 3x + -12x + -6y + -3y = 0 Combine like terms: 3x + -12x = -9x 5 + -9x + -6y + -3y = 0 Combine like terms: -6y + -3y = -9y 5 + -9x + -9y = 0 Solving 5 + -9x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -9x + -5 + -9y = 0 + -5 Reorder the terms: 5 + -5 + -9x + -9y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x + -9y = 0 + -5 -9x + -9y = 0 + -5 Combine like terms: 0 + -5 = -5 -9x + -9y = -5 Add '9y' to each side of the equation. -9x + -9y + 9y = -5 + 9y Combine like terms: -9y + 9y = 0 -9x + 0 = -5 + 9y -9x = -5 + 9y Divide each side by '-9'. x = 0.5555555556 + -1y Simplifying x = 0.5555555556 + -1y
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