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Simplifying (46x + 78y) + -1(10x + 25y) = 0 Remove parenthesis around (46x + 78y) 46x + 78y + -1(10x + 25y) = 0 46x + 78y + (10x * -1 + 25y * -1) = 0 46x + 78y + (-10x + -25y) = 0 Reorder the terms: 46x + -10x + 78y + -25y = 0 Combine like terms: 46x + -10x = 36x 36x + 78y + -25y = 0 Combine like terms: 78y + -25y = 53y 36x + 53y = 0 Solving 36x + 53y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53y' to each side of the equation. 36x + 53y + -53y = 0 + -53y Combine like terms: 53y + -53y = 0 36x + 0 = 0 + -53y 36x = 0 + -53y Remove the zero: 36x = -53y Divide each side by '36'. x = -1.472222222y Simplifying x = -1.472222222y
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