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Simplifying (89x + 64y) + -1(8x + 34y) = 0 Remove parenthesis around (89x + 64y) 89x + 64y + -1(8x + 34y) = 0 89x + 64y + (8x * -1 + 34y * -1) = 0 89x + 64y + (-8x + -34y) = 0 Reorder the terms: 89x + -8x + 64y + -34y = 0 Combine like terms: 89x + -8x = 81x 81x + 64y + -34y = 0 Combine like terms: 64y + -34y = 30y 81x + 30y = 0 Solving 81x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. 81x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 81x + 0 = 0 + -30y 81x = 0 + -30y Remove the zero: 81x = -30y Divide each side by '81'. x = -0.3703703704y Simplifying x = -0.3703703704y
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