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Simplifying 6x + 12 = 2(8 + -4x) Reorder the terms: 12 + 6x = 2(8 + -4x) 12 + 6x = (8 * 2 + -4x * 2) 12 + 6x = (16 + -8x) Solving 12 + 6x = 16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 6x + 8x = 16 + -8x + 8x Combine like terms: 6x + 8x = 14x 12 + 14x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 14x = 16 + 0 12 + 14x = 16 Add '-12' to each side of the equation. 12 + -12 + 14x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 16 + -12 14x = 16 + -12 Combine like terms: 16 + -12 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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