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Simplifying 4(2x + -5y) + -4(5x + 5y) = 0 (2x * 4 + -5y * 4) + -4(5x + 5y) = 0 (8x + -20y) + -4(5x + 5y) = 0 8x + -20y + (5x * -4 + 5y * -4) = 0 8x + -20y + (-20x + -20y) = 0 Reorder the terms: 8x + -20x + -20y + -20y = 0 Combine like terms: 8x + -20x = -12x -12x + -20y + -20y = 0 Combine like terms: -20y + -20y = -40y -12x + -40y = 0 Solving -12x + -40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40y' to each side of the equation. -12x + -40y + 40y = 0 + 40y Combine like terms: -40y + 40y = 0 -12x + 0 = 0 + 40y -12x = 0 + 40y Remove the zero: -12x = 40y Divide each side by '-12'. x = -3.333333333y Simplifying x = -3.333333333y
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