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