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Simplifying (78x + 68y) + -1(4x + 35y) = 0 Remove parenthesis around (78x + 68y) 78x + 68y + -1(4x + 35y) = 0 78x + 68y + (4x * -1 + 35y * -1) = 0 78x + 68y + (-4x + -35y) = 0 Reorder the terms: 78x + -4x + 68y + -35y = 0 Combine like terms: 78x + -4x = 74x 74x + 68y + -35y = 0 Combine like terms: 68y + -35y = 33y 74x + 33y = 0 Solving 74x + 33y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33y' to each side of the equation. 74x + 33y + -33y = 0 + -33y Combine like terms: 33y + -33y = 0 74x + 0 = 0 + -33y 74x = 0 + -33y Remove the zero: 74x = -33y Divide each side by '74'. x = -0.4459459459y Simplifying x = -0.4459459459y
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