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Simplifying (78x + 70y) + -1(19x + 27y) = 0 Remove parenthesis around (78x + 70y) 78x + 70y + -1(19x + 27y) = 0 78x + 70y + (19x * -1 + 27y * -1) = 0 78x + 70y + (-19x + -27y) = 0 Reorder the terms: 78x + -19x + 70y + -27y = 0 Combine like terms: 78x + -19x = 59x 59x + 70y + -27y = 0 Combine like terms: 70y + -27y = 43y 59x + 43y = 0 Solving 59x + 43y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43y' to each side of the equation. 59x + 43y + -43y = 0 + -43y Combine like terms: 43y + -43y = 0 59x + 0 = 0 + -43y 59x = 0 + -43y Remove the zero: 59x = -43y Divide each side by '59'. x = -0.7288135593y Simplifying x = -0.7288135593y
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