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Simplifying (69x + 58y) + -1(17x + 32y) = 0 Remove parenthesis around (69x + 58y) 69x + 58y + -1(17x + 32y) = 0 69x + 58y + (17x * -1 + 32y * -1) = 0 69x + 58y + (-17x + -32y) = 0 Reorder the terms: 69x + -17x + 58y + -32y = 0 Combine like terms: 69x + -17x = 52x 52x + 58y + -32y = 0 Combine like terms: 58y + -32y = 26y 52x + 26y = 0 Solving 52x + 26y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26y' to each side of the equation. 52x + 26y + -26y = 0 + -26y Combine like terms: 26y + -26y = 0 52x + 0 = 0 + -26y 52x = 0 + -26y Remove the zero: 52x = -26y Divide each side by '52'. x = -0.5y Simplifying x = -0.5y
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