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Simplifying (11x + 2y) + -1(5x + 9y) = 0 Remove parenthesis around (11x + 2y) 11x + 2y + -1(5x + 9y) = 0 11x + 2y + (5x * -1 + 9y * -1) = 0 11x + 2y + (-5x + -9y) = 0 Reorder the terms: 11x + -5x + 2y + -9y = 0 Combine like terms: 11x + -5x = 6x 6x + 2y + -9y = 0 Combine like terms: 2y + -9y = -7y 6x + -7y = 0 Solving 6x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 6x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 6x + 0 = 0 + 7y 6x = 0 + 7y Remove the zero: 6x = 7y Divide each side by '6'. x = 1.166666667y Simplifying x = 1.166666667y
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