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Simplifying 5(2x + -1y) + -4(x + 9y) = 0 (2x * 5 + -1y * 5) + -4(x + 9y) = 0 (10x + -5y) + -4(x + 9y) = 0 10x + -5y + (x * -4 + 9y * -4) = 0 10x + -5y + (-4x + -36y) = 0 Reorder the terms: 10x + -4x + -5y + -36y = 0 Combine like terms: 10x + -4x = 6x 6x + -5y + -36y = 0 Combine like terms: -5y + -36y = -41y 6x + -41y = 0 Solving 6x + -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. 6x + -41y + 41y = 0 + 41y Combine like terms: -41y + 41y = 0 6x + 0 = 0 + 41y 6x = 0 + 41y Remove the zero: 6x = 41y Divide each side by '6'. x = 6.833333333y Simplifying x = 6.833333333y
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