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Simplifying (87x + 62y) + -1(3x + 27y) = 0 Remove parenthesis around (87x + 62y) 87x + 62y + -1(3x + 27y) = 0 87x + 62y + (3x * -1 + 27y * -1) = 0 87x + 62y + (-3x + -27y) = 0 Reorder the terms: 87x + -3x + 62y + -27y = 0 Combine like terms: 87x + -3x = 84x 84x + 62y + -27y = 0 Combine like terms: 62y + -27y = 35y 84x + 35y = 0 Solving 84x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35y' to each side of the equation. 84x + 35y + -35y = 0 + -35y Combine like terms: 35y + -35y = 0 84x + 0 = 0 + -35y 84x = 0 + -35y Remove the zero: 84x = -35y Divide each side by '84'. x = -0.4166666667y Simplifying x = -0.4166666667y
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