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Simplifying 6x + 5 = 38 + -3x Reorder the terms: 5 + 6x = 38 + -3x Solving 5 + 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. 5 + 6x + 3x = 38 + -3x + 3x Combine like terms: 6x + 3x = 9x 5 + 9x = 38 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 9x = 38 + 0 5 + 9x = 38 Add '-5' to each side of the equation. 5 + -5 + 9x = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 38 + -5 9x = 38 + -5 Combine like terms: 38 + -5 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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