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Simplifying 38 = 6(x + 4) + -8 Reorder the terms: 38 = 6(4 + x) + -8 38 = (4 * 6 + x * 6) + -8 38 = (24 + 6x) + -8 Reorder the terms: 38 = 24 + -8 + 6x Combine like terms: 24 + -8 = 16 38 = 16 + 6x Solving 38 = 16 + 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 = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + -6x = 16 + 0 38 + -6x = 16 Add '-38' to each side of the equation. 38 + -38 + -6x = 16 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = 16 + -38 -6x = 16 + -38 Combine like terms: 16 + -38 = -22 -6x = -22 Divide each side by '-6'. x = 3.666666667 Simplifying x = 3.666666667
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