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Simplifying 10(x + -1y) + -4(x + y) = 0 (x * 10 + -1y * 10) + -4(x + y) = 0 (10x + -10y) + -4(x + y) = 0 10x + -10y + (x * -4 + y * -4) = 0 10x + -10y + (-4x + -4y) = 0 Reorder the terms: 10x + -4x + -10y + -4y = 0 Combine like terms: 10x + -4x = 6x 6x + -10y + -4y = 0 Combine like terms: -10y + -4y = -14y 6x + -14y = 0 Solving 6x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. 6x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 6x + 0 = 0 + 14y 6x = 0 + 14y Remove the zero: 6x = 14y Divide each side by '6'. x = 2.333333333y Simplifying x = 2.333333333y
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