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Simplifying 38 = 2(3x + 1) Reorder the terms: 38 = 2(1 + 3x) 38 = (1 * 2 + 3x * 2) 38 = (2 + 6x) Solving 38 = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + -6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + -6x = 2 + 0 38 + -6x = 2 Add '-38' to each side of the equation. 38 + -38 + -6x = 2 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = 2 + -38 -6x = 2 + -38 Combine like terms: 2 + -38 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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