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Simplifying (78x + -56y) + -1(69x + 35y) = 0 Remove parenthesis around (78x + -56y) 78x + -56y + -1(69x + 35y) = 0 78x + -56y + (69x * -1 + 35y * -1) = 0 78x + -56y + (-69x + -35y) = 0 Reorder the terms: 78x + -69x + -56y + -35y = 0 Combine like terms: 78x + -69x = 9x 9x + -56y + -35y = 0 Combine like terms: -56y + -35y = -91y 9x + -91y = 0 Solving 9x + -91y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '91y' to each side of the equation. 9x + -91y + 91y = 0 + 91y Combine like terms: -91y + 91y = 0 9x + 0 = 0 + 91y 9x = 0 + 91y Remove the zero: 9x = 91y Divide each side by '9'. x = 10.11111111y Simplifying x = 10.11111111y
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