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Simplifying (89x + 45y) + -1(5x + 34y) = 0 Remove parenthesis around (89x + 45y) 89x + 45y + -1(5x + 34y) = 0 89x + 45y + (5x * -1 + 34y * -1) = 0 89x + 45y + (-5x + -34y) = 0 Reorder the terms: 89x + -5x + 45y + -34y = 0 Combine like terms: 89x + -5x = 84x 84x + 45y + -34y = 0 Combine like terms: 45y + -34y = 11y 84x + 11y = 0 Solving 84x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 84x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 84x + 0 = 0 + -11y 84x = 0 + -11y Remove the zero: 84x = -11y Divide each side by '84'. x = -0.130952381y Simplifying x = -0.130952381y
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