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Simplifying (84x + -58y) + -1(70x + 31y) = 0 Remove parenthesis around (84x + -58y) 84x + -58y + -1(70x + 31y) = 0 84x + -58y + (70x * -1 + 31y * -1) = 0 84x + -58y + (-70x + -31y) = 0 Reorder the terms: 84x + -70x + -58y + -31y = 0 Combine like terms: 84x + -70x = 14x 14x + -58y + -31y = 0 Combine like terms: -58y + -31y = -89y 14x + -89y = 0 Solving 14x + -89y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '89y' to each side of the equation. 14x + -89y + 89y = 0 + 89y Combine like terms: -89y + 89y = 0 14x + 0 = 0 + 89y 14x = 0 + 89y Remove the zero: 14x = 89y Divide each side by '14'. x = 6.357142857y Simplifying x = 6.357142857y
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