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Simplifying 2(6x + 4) = 2x + 38 Reorder the terms: 2(4 + 6x) = 2x + 38 (4 * 2 + 6x * 2) = 2x + 38 (8 + 12x) = 2x + 38 Reorder the terms: 8 + 12x = 38 + 2x Solving 8 + 12x = 38 + 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. 8 + 12x + -2x = 38 + 2x + -2x Combine like terms: 12x + -2x = 10x 8 + 10x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 10x = 38 + 0 8 + 10x = 38 Add '-8' to each side of the equation. 8 + -8 + 10x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 38 + -8 10x = 38 + -8 Combine like terms: 38 + -8 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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