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Simplifying 38 = 2(2x + 2) + 2x Reorder the terms: 38 = 2(2 + 2x) + 2x 38 = (2 * 2 + 2x * 2) + 2x 38 = (4 + 4x) + 2x Combine like terms: 4x + 2x = 6x 38 = 4 + 6x Solving 38 = 4 + 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 = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + -6x = 4 + 0 38 + -6x = 4 Add '-38' to each side of the equation. 38 + -38 + -6x = 4 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = 4 + -38 -6x = 4 + -38 Combine like terms: 4 + -38 = -34 -6x = -34 Divide each side by '-6'. x = 5.666666667 Simplifying x = 5.666666667
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