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Simplifying (57x + 78y) + -1(-39x + 13y) = 0 Remove parenthesis around (57x + 78y) 57x + 78y + -1(-39x + 13y) = 0 57x + 78y + (-39x * -1 + 13y * -1) = 0 57x + 78y + (39x + -13y) = 0 Reorder the terms: 57x + 39x + 78y + -13y = 0 Combine like terms: 57x + 39x = 96x 96x + 78y + -13y = 0 Combine like terms: 78y + -13y = 65y 96x + 65y = 0 Solving 96x + 65y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65y' to each side of the equation. 96x + 65y + -65y = 0 + -65y Combine like terms: 65y + -65y = 0 96x + 0 = 0 + -65y 96x = 0 + -65y Remove the zero: 96x = -65y Divide each side by '96'. x = -0.6770833333y Simplifying x = -0.6770833333y
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