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Simplifying 2(3x + -2y) + -4(x + 4y) = 0 (3x * 2 + -2y * 2) + -4(x + 4y) = 0 (6x + -4y) + -4(x + 4y) = 0 6x + -4y + (x * -4 + 4y * -4) = 0 6x + -4y + (-4x + -16y) = 0 Reorder the terms: 6x + -4x + -4y + -16y = 0 Combine like terms: 6x + -4x = 2x 2x + -4y + -16y = 0 Combine like terms: -4y + -16y = -20y 2x + -20y = 0 Solving 2x + -20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. 2x + -20y + 20y = 0 + 20y Combine like terms: -20y + 20y = 0 2x + 0 = 0 + 20y 2x = 0 + 20y Remove the zero: 2x = 20y Divide each side by '2'. x = 10y Simplifying x = 10y
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