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Simplifying 4(3x + y) + -2(x + -5y) = 0 (3x * 4 + y * 4) + -2(x + -5y) = 0 (12x + 4y) + -2(x + -5y) = 0 12x + 4y + (x * -2 + -5y * -2) = 0 12x + 4y + (-2x + 10y) = 0 Reorder the terms: 12x + -2x + 4y + 10y = 0 Combine like terms: 12x + -2x = 10x 10x + 4y + 10y = 0 Combine like terms: 4y + 10y = 14y 10x + 14y = 0 Solving 10x + 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. 10x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 10x + 0 = 0 + -14y 10x = 0 + -14y Remove the zero: 10x = -14y Divide each side by '10'. x = -1.4y Simplifying x = -1.4y
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