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Simplifying 3x + 23 + 3x + -1 = 46 + -3x + 39 Reorder the terms: 23 + -1 + 3x + 3x = 46 + -3x + 39 Combine like terms: 23 + -1 = 22 22 + 3x + 3x = 46 + -3x + 39 Combine like terms: 3x + 3x = 6x 22 + 6x = 46 + -3x + 39 Reorder the terms: 22 + 6x = 46 + 39 + -3x Combine like terms: 46 + 39 = 85 22 + 6x = 85 + -3x Solving 22 + 6x = 85 + -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. 22 + 6x + 3x = 85 + -3x + 3x Combine like terms: 6x + 3x = 9x 22 + 9x = 85 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 9x = 85 + 0 22 + 9x = 85 Add '-22' to each side of the equation. 22 + -22 + 9x = 85 + -22 Combine like terms: 22 + -22 = 0 0 + 9x = 85 + -22 9x = 85 + -22 Combine like terms: 85 + -22 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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