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Simplifying (76x + 64y) + -1(17x + 40y) = 0 Remove parenthesis around (76x + 64y) 76x + 64y + -1(17x + 40y) = 0 76x + 64y + (17x * -1 + 40y * -1) = 0 76x + 64y + (-17x + -40y) = 0 Reorder the terms: 76x + -17x + 64y + -40y = 0 Combine like terms: 76x + -17x = 59x 59x + 64y + -40y = 0 Combine like terms: 64y + -40y = 24y 59x + 24y = 0 Solving 59x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. 59x + 24y + -24y = 0 + -24y Combine like terms: 24y + -24y = 0 59x + 0 = 0 + -24y 59x = 0 + -24y Remove the zero: 59x = -24y Divide each side by '59'. x = -0.406779661y Simplifying x = -0.406779661y
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