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Simplifying (84x + -56y) + -1(60x + 30y) = 0 Remove parenthesis around (84x + -56y) 84x + -56y + -1(60x + 30y) = 0 84x + -56y + (60x * -1 + 30y * -1) = 0 84x + -56y + (-60x + -30y) = 0 Reorder the terms: 84x + -60x + -56y + -30y = 0 Combine like terms: 84x + -60x = 24x 24x + -56y + -30y = 0 Combine like terms: -56y + -30y = -86y 24x + -86y = 0 Solving 24x + -86y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '86y' to each side of the equation. 24x + -86y + 86y = 0 + 86y Combine like terms: -86y + 86y = 0 24x + 0 = 0 + 86y 24x = 0 + 86y Remove the zero: 24x = 86y Divide each side by '24'. x = 3.583333333y Simplifying x = 3.583333333y
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