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Simplifying (81x + -58y) + -1(69x + 4y) = 0 Remove parenthesis around (81x + -58y) 81x + -58y + -1(69x + 4y) = 0 81x + -58y + (69x * -1 + 4y * -1) = 0 81x + -58y + (-69x + -4y) = 0 Reorder the terms: 81x + -69x + -58y + -4y = 0 Combine like terms: 81x + -69x = 12x 12x + -58y + -4y = 0 Combine like terms: -58y + -4y = -62y 12x + -62y = 0 Solving 12x + -62y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62y' to each side of the equation. 12x + -62y + 62y = 0 + 62y Combine like terms: -62y + 62y = 0 12x + 0 = 0 + 62y 12x = 0 + 62y Remove the zero: 12x = 62y Divide each side by '12'. x = 5.166666667y Simplifying x = 5.166666667y
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