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Simplifying 8(4x + -5y) + 6(2x + -1y) = 0 (4x * 8 + -5y * 8) + 6(2x + -1y) = 0 (32x + -40y) + 6(2x + -1y) = 0 32x + -40y + (2x * 6 + -1y * 6) = 0 32x + -40y + (12x + -6y) = 0 Reorder the terms: 32x + 12x + -40y + -6y = 0 Combine like terms: 32x + 12x = 44x 44x + -40y + -6y = 0 Combine like terms: -40y + -6y = -46y 44x + -46y = 0 Solving 44x + -46y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46y' to each side of the equation. 44x + -46y + 46y = 0 + 46y Combine like terms: -46y + 46y = 0 44x + 0 = 0 + 46y 44x = 0 + 46y Remove the zero: 44x = 46y Divide each side by '44'. x = 1.045454545y Simplifying x = 1.045454545y
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