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Simplifying 2x + 4y = 8x + -32y Solving 2x + 4y = 8x + -32y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2x + -8x + 4y = 8x + -8x + -32y Combine like terms: 2x + -8x = -6x -6x + 4y = 8x + -8x + -32y Combine like terms: 8x + -8x = 0 -6x + 4y = 0 + -32y -6x + 4y = -32y Add '-4y' to each side of the equation. -6x + 4y + -4y = -32y + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = -32y + -4y -6x = -32y + -4y Combine like terms: -32y + -4y = -36y -6x = -36y Divide each side by '-6'. x = 6y Simplifying x = 6y
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