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Simplifying (11 + -7(x + -3y)) + 9(5x + y) = 0 (11 + (x * -7 + -3y * -7)) + 9(5x + y) = 0 (11 + (-7x + 21y)) + 9(5x + y) = 0 Remove parenthesis around (11 + -7x + 21y) 11 + -7x + 21y + 9(5x + y) = 0 11 + -7x + 21y + (5x * 9 + y * 9) = 0 11 + -7x + 21y + (45x + 9y) = 0 Reorder the terms: 11 + -7x + 45x + 21y + 9y = 0 Combine like terms: -7x + 45x = 38x 11 + 38x + 21y + 9y = 0 Combine like terms: 21y + 9y = 30y 11 + 38x + 30y = 0 Solving 11 + 38x + 30y = 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 + 38x + -11 + 30y = 0 + -11 Reorder the terms: 11 + -11 + 38x + 30y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 38x + 30y = 0 + -11 38x + 30y = 0 + -11 Combine like terms: 0 + -11 = -11 38x + 30y = -11 Add '-30y' to each side of the equation. 38x + 30y + -30y = -11 + -30y Combine like terms: 30y + -30y = 0 38x + 0 = -11 + -30y 38x = -11 + -30y Divide each side by '38'. x = -0.2894736842 + -0.7894736842y Simplifying x = -0.2894736842 + -0.7894736842y
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