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Simplifying 2(x + 3y) + -4(2x + -8y) = 0 (x * 2 + 3y * 2) + -4(2x + -8y) = 0 (2x + 6y) + -4(2x + -8y) = 0 2x + 6y + (2x * -4 + -8y * -4) = 0 2x + 6y + (-8x + 32y) = 0 Reorder the terms: 2x + -8x + 6y + 32y = 0 Combine like terms: 2x + -8x = -6x -6x + 6y + 32y = 0 Combine like terms: 6y + 32y = 38y -6x + 38y = 0 Solving -6x + 38y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38y' to each side of the equation. -6x + 38y + -38y = 0 + -38y Combine like terms: 38y + -38y = 0 -6x + 0 = 0 + -38y -6x = 0 + -38y Remove the zero: -6x = -38y Divide each side by '-6'. x = 6.333333333y Simplifying x = 6.333333333y
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