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Simplifying 2(6x + -8) = 8(-2 + -4x) Reorder the terms: 2(-8 + 6x) = 8(-2 + -4x) (-8 * 2 + 6x * 2) = 8(-2 + -4x) (-16 + 12x) = 8(-2 + -4x) -16 + 12x = (-2 * 8 + -4x * 8) -16 + 12x = (-16 + -32x) Add '16' to each side of the equation. -16 + 16 + 12x = -16 + 16 + -32x Combine like terms: -16 + 16 = 0 0 + 12x = -16 + 16 + -32x 12x = -16 + 16 + -32x Combine like terms: -16 + 16 = 0 12x = 0 + -32x 12x = -32x Solving 12x = -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 12x + 32x = -32x + 32x Combine like terms: 12x + 32x = 44x 44x = -32x + 32x Combine like terms: -32x + 32x = 0 44x = 0 Divide each side by '44'. x = 0 Simplifying x = 0
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