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Simplifying (50x + 75y) + -1(-32x + 12y) = 0 Remove parenthesis around (50x + 75y) 50x + 75y + -1(-32x + 12y) = 0 50x + 75y + (-32x * -1 + 12y * -1) = 0 50x + 75y + (32x + -12y) = 0 Reorder the terms: 50x + 32x + 75y + -12y = 0 Combine like terms: 50x + 32x = 82x 82x + 75y + -12y = 0 Combine like terms: 75y + -12y = 63y 82x + 63y = 0 Solving 82x + 63y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63y' to each side of the equation. 82x + 63y + -63y = 0 + -63y Combine like terms: 63y + -63y = 0 82x + 0 = 0 + -63y 82x = 0 + -63y Remove the zero: 82x = -63y Divide each side by '82'. x = -0.7682926829y Simplifying x = -0.7682926829y
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