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Simplifying (5x + 2y + 19) + (9y + 7x + -10) = 0 Reorder the terms: (19 + 5x + 2y) + (9y + 7x + -10) = 0 Remove parenthesis around (19 + 5x + 2y) 19 + 5x + 2y + (9y + 7x + -10) = 0 Reorder the terms: 19 + 5x + 2y + (-10 + 7x + 9y) = 0 Remove parenthesis around (-10 + 7x + 9y) 19 + 5x + 2y + -10 + 7x + 9y = 0 Reorder the terms: 19 + -10 + 5x + 7x + 2y + 9y = 0 Combine like terms: 19 + -10 = 9 9 + 5x + 7x + 2y + 9y = 0 Combine like terms: 5x + 7x = 12x 9 + 12x + 2y + 9y = 0 Combine like terms: 2y + 9y = 11y 9 + 12x + 11y = 0 Solving 9 + 12x + 11y = 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 + 12x + -9 + 11y = 0 + -9 Reorder the terms: 9 + -9 + 12x + 11y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 12x + 11y = 0 + -9 12x + 11y = 0 + -9 Combine like terms: 0 + -9 = -9 12x + 11y = -9 Add '-11y' to each side of the equation. 12x + 11y + -11y = -9 + -11y Combine like terms: 11y + -11y = 0 12x + 0 = -9 + -11y 12x = -9 + -11y Divide each side by '12'. x = -0.75 + -0.9166666667y Simplifying x = -0.75 + -0.9166666667y
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