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Simplifying (78x + -67y) + -1(49x + 33y) = 0 Remove parenthesis around (78x + -67y) 78x + -67y + -1(49x + 33y) = 0 78x + -67y + (49x * -1 + 33y * -1) = 0 78x + -67y + (-49x + -33y) = 0 Reorder the terms: 78x + -49x + -67y + -33y = 0 Combine like terms: 78x + -49x = 29x 29x + -67y + -33y = 0 Combine like terms: -67y + -33y = -100y 29x + -100y = 0 Solving 29x + -100y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100y' to each side of the equation. 29x + -100y + 100y = 0 + 100y Combine like terms: -100y + 100y = 0 29x + 0 = 0 + 100y 29x = 0 + 100y Remove the zero: 29x = 100y Divide each side by '29'. x = 3.448275862y Simplifying x = 3.448275862y
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