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Simplifying 2(3x + 6) + 8 = 8 + 2x Reorder the terms: 2(6 + 3x) + 8 = 8 + 2x (6 * 2 + 3x * 2) + 8 = 8 + 2x (12 + 6x) + 8 = 8 + 2x Reorder the terms: 12 + 8 + 6x = 8 + 2x Combine like terms: 12 + 8 = 20 20 + 6x = 8 + 2x Solving 20 + 6x = 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. 20 + 6x + -2x = 8 + 2x + -2x Combine like terms: 6x + -2x = 4x 20 + 4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 4x = 8 + 0 20 + 4x = 8 Add '-20' to each side of the equation. 20 + -20 + 4x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 8 + -20 4x = 8 + -20 Combine like terms: 8 + -20 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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