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Simplifying -3(-2x + 5y) + 5(-1x + 4y) = 0 (-2x * -3 + 5y * -3) + 5(-1x + 4y) = 0 (6x + -15y) + 5(-1x + 4y) = 0 6x + -15y + (-1x * 5 + 4y * 5) = 0 6x + -15y + (-5x + 20y) = 0 Reorder the terms: 6x + -5x + -15y + 20y = 0 Combine like terms: 6x + -5x = 1x 1x + -15y + 20y = 0 Combine like terms: -15y + 20y = 5y 1x + 5y = 0 Solving 1x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 1x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 1x + 0 = 0 + -5y 1x = 0 + -5y Remove the zero: 1x = -5y Divide each side by '1'. x = -5y Simplifying x = -5y
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