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Simplifying 6x + 8 = 38 + -3x Reorder the terms: 8 + 6x = 38 + -3x Solving 8 + 6x = 38 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 6x + 3x = 38 + -3x + 3x Combine like terms: 6x + 3x = 9x 8 + 9x = 38 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 9x = 38 + 0 8 + 9x = 38 Add '-8' to each side of the equation. 8 + -8 + 9x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 38 + -8 9x = 38 + -8 Combine like terms: 38 + -8 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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