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Simplifying (5x + 9y) + -1(11x + -2y + 6) = 0 Remove parenthesis around (5x + 9y) 5x + 9y + -1(11x + -2y + 6) = 0 Reorder the terms: 5x + 9y + -1(6 + 11x + -2y) = 0 5x + 9y + (6 * -1 + 11x * -1 + -2y * -1) = 0 5x + 9y + (-6 + -11x + 2y) = 0 Reorder the terms: -6 + 5x + -11x + 9y + 2y = 0 Combine like terms: 5x + -11x = -6x -6 + -6x + 9y + 2y = 0 Combine like terms: 9y + 2y = 11y -6 + -6x + 11y = 0 Solving -6 + -6x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -6x + 6 + 11y = 0 + 6 Reorder the terms: -6 + 6 + -6x + 11y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -6x + 11y = 0 + 6 -6x + 11y = 0 + 6 Combine like terms: 0 + 6 = 6 -6x + 11y = 6 Add '-11y' to each side of the equation. -6x + 11y + -11y = 6 + -11y Combine like terms: 11y + -11y = 0 -6x + 0 = 6 + -11y -6x = 6 + -11y Divide each side by '-6'. x = -1 + 1.833333333y Simplifying x = -1 + 1.833333333y
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