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Simplifying 2(6x + 4) + 2 = 2(20 + 6) + 2 Reorder the terms: 2(4 + 6x) + 2 = 2(20 + 6) + 2 (4 * 2 + 6x * 2) + 2 = 2(20 + 6) + 2 (8 + 12x) + 2 = 2(20 + 6) + 2 Reorder the terms: 8 + 2 + 12x = 2(20 + 6) + 2 Combine like terms: 8 + 2 = 10 10 + 12x = 2(20 + 6) + 2 Combine like terms: 20 + 6 = 26 10 + 12x = 2(26) + 2 Multiply 2 * 26 10 + 12x = 52 + 2 Combine like terms: 52 + 2 = 54 10 + 12x = 54 Solving 10 + 12x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 54 + -10 12x = 54 + -10 Combine like terms: 54 + -10 = 44 12x = 44 Divide each side by '12'. x = 3.666666667 Simplifying x = 3.666666667
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