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Simplifying (82x + 69y) + -1(12x + 28y) = 0 Remove parenthesis around (82x + 69y) 82x + 69y + -1(12x + 28y) = 0 82x + 69y + (12x * -1 + 28y * -1) = 0 82x + 69y + (-12x + -28y) = 0 Reorder the terms: 82x + -12x + 69y + -28y = 0 Combine like terms: 82x + -12x = 70x 70x + 69y + -28y = 0 Combine like terms: 69y + -28y = 41y 70x + 41y = 0 Solving 70x + 41y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41y' to each side of the equation. 70x + 41y + -41y = 0 + -41y Combine like terms: 41y + -41y = 0 70x + 0 = 0 + -41y 70x = 0 + -41y Remove the zero: 70x = -41y Divide each side by '70'. x = -0.5857142857y Simplifying x = -0.5857142857y
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