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Simplifying 2(4x + 6) = -8 + 2x Reorder the terms: 2(6 + 4x) = -8 + 2x (6 * 2 + 4x * 2) = -8 + 2x (12 + 8x) = -8 + 2x Solving 12 + 8x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 8x + -2x = -8 + 2x + -2x Combine like terms: 8x + -2x = 6x 12 + 6x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 6x = -8 + 0 12 + 6x = -8 Add '-12' to each side of the equation. 12 + -12 + 6x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -8 + -12 6x = -8 + -12 Combine like terms: -8 + -12 = -20 6x = -20 Divide each side by '6'. x = -3.333333333 Simplifying x = -3.333333333
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