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Simplifying (76x + -62y) + -1(69x + 23y) = 0 Remove parenthesis around (76x + -62y) 76x + -62y + -1(69x + 23y) = 0 76x + -62y + (69x * -1 + 23y * -1) = 0 76x + -62y + (-69x + -23y) = 0 Reorder the terms: 76x + -69x + -62y + -23y = 0 Combine like terms: 76x + -69x = 7x 7x + -62y + -23y = 0 Combine like terms: -62y + -23y = -85y 7x + -85y = 0 Solving 7x + -85y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85y' to each side of the equation. 7x + -85y + 85y = 0 + 85y Combine like terms: -85y + 85y = 0 7x + 0 = 0 + 85y 7x = 0 + 85y Remove the zero: 7x = 85y Divide each side by '7'. x = 12.14285714y Simplifying x = 12.14285714y
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