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Simplifying (57x + 78y) + -1(-44x + 5y) = 0 Remove parenthesis around (57x + 78y) 57x + 78y + -1(-44x + 5y) = 0 57x + 78y + (-44x * -1 + 5y * -1) = 0 57x + 78y + (44x + -5y) = 0 Reorder the terms: 57x + 44x + 78y + -5y = 0 Combine like terms: 57x + 44x = 101x 101x + 78y + -5y = 0 Combine like terms: 78y + -5y = 73y 101x + 73y = 0 Solving 101x + 73y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-73y' to each side of the equation. 101x + 73y + -73y = 0 + -73y Combine like terms: 73y + -73y = 0 101x + 0 = 0 + -73y 101x = 0 + -73y Remove the zero: 101x = -73y Divide each side by '101'. x = -0.7227722772y Simplifying x = -0.7227722772y
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