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Simplifying 5(x + y) + 3(4x + -2y) = 0 (x * 5 + y * 5) + 3(4x + -2y) = 0 (5x + 5y) + 3(4x + -2y) = 0 5x + 5y + (4x * 3 + -2y * 3) = 0 5x + 5y + (12x + -6y) = 0 Reorder the terms: 5x + 12x + 5y + -6y = 0 Combine like terms: 5x + 12x = 17x 17x + 5y + -6y = 0 Combine like terms: 5y + -6y = -1y 17x + -1y = 0 Solving 17x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 17x + -1y + y = 0 + y Combine like terms: -1y + y = 0 17x + 0 = 0 + y 17x = 0 + y Remove the zero: 17x = y Divide each side by '17'. x = 0.05882352941y Simplifying x = 0.05882352941y
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