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Simplifying (12x + -4y + 9) + (3y + -10x + -8) = 0 Reorder the terms: (9 + 12x + -4y) + (3y + -10x + -8) = 0 Remove parenthesis around (9 + 12x + -4y) 9 + 12x + -4y + (3y + -10x + -8) = 0 Reorder the terms: 9 + 12x + -4y + (-8 + -10x + 3y) = 0 Remove parenthesis around (-8 + -10x + 3y) 9 + 12x + -4y + -8 + -10x + 3y = 0 Reorder the terms: 9 + -8 + 12x + -10x + -4y + 3y = 0 Combine like terms: 9 + -8 = 1 1 + 12x + -10x + -4y + 3y = 0 Combine like terms: 12x + -10x = 2x 1 + 2x + -4y + 3y = 0 Combine like terms: -4y + 3y = -1y 1 + 2x + -1y = 0 Solving 1 + 2x + -1y = 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 + 2x + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + 2x + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + -1y = 0 + -1 2x + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 2x + -1y = -1 Add 'y' to each side of the equation. 2x + -1y + y = -1 + y Combine like terms: -1y + y = 0 2x + 0 = -1 + y 2x = -1 + y Divide each side by '2'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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