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Simplifying (51x + 49y) + -1(-27x + 4y) = 0 Remove parenthesis around (51x + 49y) 51x + 49y + -1(-27x + 4y) = 0 51x + 49y + (-27x * -1 + 4y * -1) = 0 51x + 49y + (27x + -4y) = 0 Reorder the terms: 51x + 27x + 49y + -4y = 0 Combine like terms: 51x + 27x = 78x 78x + 49y + -4y = 0 Combine like terms: 49y + -4y = 45y 78x + 45y = 0 Solving 78x + 45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45y' to each side of the equation. 78x + 45y + -45y = 0 + -45y Combine like terms: 45y + -45y = 0 78x + 0 = 0 + -45y 78x = 0 + -45y Remove the zero: 78x = -45y Divide each side by '78'. x = -0.5769230769y Simplifying x = -0.5769230769y
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