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