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Simplifying -5(x + -4y) + 10x + -8y = 0 (x * -5 + -4y * -5) + 10x + -8y = 0 (-5x + 20y) + 10x + -8y = 0 Reorder the terms: -5x + 10x + 20y + -8y = 0 Combine like terms: -5x + 10x = 5x 5x + 20y + -8y = 0 Combine like terms: 20y + -8y = 12y 5x + 12y = 0 Solving 5x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 5x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 5x + 0 = 0 + -12y 5x = 0 + -12y Remove the zero: 5x = -12y Divide each side by '5'. x = -2.4y Simplifying x = -2.4y
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