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Simplifying (86x + 48y) + -1(4x + 31y) = 0 Remove parenthesis around (86x + 48y) 86x + 48y + -1(4x + 31y) = 0 86x + 48y + (4x * -1 + 31y * -1) = 0 86x + 48y + (-4x + -31y) = 0 Reorder the terms: 86x + -4x + 48y + -31y = 0 Combine like terms: 86x + -4x = 82x 82x + 48y + -31y = 0 Combine like terms: 48y + -31y = 17y 82x + 17y = 0 Solving 82x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17y' to each side of the equation. 82x + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 82x + 0 = 0 + -17y 82x = 0 + -17y Remove the zero: 82x = -17y Divide each side by '82'. x = -0.2073170732y Simplifying x = -0.2073170732y
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