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Simplifying 3x + 8 = 46 + -6x Reorder the terms: 8 + 3x = 46 + -6x Solving 8 + 3x = 46 + -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. 8 + 3x + 6x = 46 + -6x + 6x Combine like terms: 3x + 6x = 9x 8 + 9x = 46 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 9x = 46 + 0 8 + 9x = 46 Add '-8' to each side of the equation. 8 + -8 + 9x = 46 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 46 + -8 9x = 46 + -8 Combine like terms: 46 + -8 = 38 9x = 38 Divide each side by '9'. x = 4.222222222 Simplifying x = 4.222222222
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