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Simplifying (61x + 46y) + -1(7x + -8y) = 0 Remove parenthesis around (61x + 46y) 61x + 46y + -1(7x + -8y) = 0 61x + 46y + (7x * -1 + -8y * -1) = 0 61x + 46y + (-7x + 8y) = 0 Reorder the terms: 61x + -7x + 46y + 8y = 0 Combine like terms: 61x + -7x = 54x 54x + 46y + 8y = 0 Combine like terms: 46y + 8y = 54y 54x + 54y = 0 Solving 54x + 54y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54y' to each side of the equation. 54x + 54y + -54y = 0 + -54y Combine like terms: 54y + -54y = 0 54x + 0 = 0 + -54y 54x = 0 + -54y Remove the zero: 54x = -54y Divide each side by '54'. x = -1y Simplifying x = -1y
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