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Simplifying (7x + -3y + 2) + (2x + -1y) + (9 + -2y + -7x) = 0 Reorder the terms: (2 + 7x + -3y) + (2x + -1y) + (9 + -2y + -7x) = 0 Remove parenthesis around (2 + 7x + -3y) 2 + 7x + -3y + (2x + -1y) + (9 + -2y + -7x) = 0 Remove parenthesis around (2x + -1y) 2 + 7x + -3y + 2x + -1y + (9 + -2y + -7x) = 0 Reorder the terms: 2 + 7x + -3y + 2x + -1y + (9 + -7x + -2y) = 0 Remove parenthesis around (9 + -7x + -2y) 2 + 7x + -3y + 2x + -1y + 9 + -7x + -2y = 0 Reorder the terms: 2 + 9 + 7x + 2x + -7x + -3y + -1y + -2y = 0 Combine like terms: 2 + 9 = 11 11 + 7x + 2x + -7x + -3y + -1y + -2y = 0 Combine like terms: 7x + 2x = 9x 11 + 9x + -7x + -3y + -1y + -2y = 0 Combine like terms: 9x + -7x = 2x 11 + 2x + -3y + -1y + -2y = 0 Combine like terms: -3y + -1y = -4y 11 + 2x + -4y + -2y = 0 Combine like terms: -4y + -2y = -6y 11 + 2x + -6y = 0 Solving 11 + 2x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 2x + -11 + -6y = 0 + -11 Reorder the terms: 11 + -11 + 2x + -6y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x + -6y = 0 + -11 2x + -6y = 0 + -11 Combine like terms: 0 + -11 = -11 2x + -6y = -11 Add '6y' to each side of the equation. 2x + -6y + 6y = -11 + 6y Combine like terms: -6y + 6y = 0 2x + 0 = -11 + 6y 2x = -11 + 6y Divide each side by '2'. x = -5.5 + 3y Simplifying x = -5.5 + 3y
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