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Simplifying 0.25(8x + 16) = 6x + 12 Reorder the terms: 0.25(16 + 8x) = 6x + 12 (16 * 0.25 + 8x * 0.25) = 6x + 12 (4 + 2x) = 6x + 12 Reorder the terms: 4 + 2x = 12 + 6x Solving 4 + 2x = 12 + 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 + 2x + -6x = 12 + 6x + -6x Combine like terms: 2x + -6x = -4x 4 + -4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -4x = 12 + 0 4 + -4x = 12 Add '-4' to each side of the equation. 4 + -4 + -4x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 12 + -4 -4x = 12 + -4 Combine like terms: 12 + -4 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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