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Simplifying 8(2 + -4x) = 2(6 + -8x) (2 * 8 + -4x * 8) = 2(6 + -8x) (16 + -32x) = 2(6 + -8x) 16 + -32x = (6 * 2 + -8x * 2) 16 + -32x = (12 + -16x) Solving 16 + -32x = 12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 16 + -32x + 16x = 12 + -16x + 16x Combine like terms: -32x + 16x = -16x 16 + -16x = 12 + -16x + 16x Combine like terms: -16x + 16x = 0 16 + -16x = 12 + 0 16 + -16x = 12 Add '-16' to each side of the equation. 16 + -16 + -16x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -16x = 12 + -16 -16x = 12 + -16 Combine like terms: 12 + -16 = -4 -16x = -4 Divide each side by '-16'. x = 0.25 Simplifying x = 0.25
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