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Simplifying 8(x + 4y) + -2(x + -8y) = 0 (x * 8 + 4y * 8) + -2(x + -8y) = 0 (8x + 32y) + -2(x + -8y) = 0 8x + 32y + (x * -2 + -8y * -2) = 0 8x + 32y + (-2x + 16y) = 0 Reorder the terms: 8x + -2x + 32y + 16y = 0 Combine like terms: 8x + -2x = 6x 6x + 32y + 16y = 0 Combine like terms: 32y + 16y = 48y 6x + 48y = 0 Solving 6x + 48y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48y' to each side of the equation. 6x + 48y + -48y = 0 + -48y Combine like terms: 48y + -48y = 0 6x + 0 = 0 + -48y 6x = 0 + -48y Remove the zero: 6x = -48y Divide each side by '6'. x = -8y Simplifying x = -8y
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