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Simplifying 3x + 1 = -3x + 31 Reorder the terms: 1 + 3x = -3x + 31 Reorder the terms: 1 + 3x = 31 + -3x Solving 1 + 3x = 31 + -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. 1 + 3x + 3x = 31 + -3x + 3x Combine like terms: 3x + 3x = 6x 1 + 6x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 6x = 31 + 0 1 + 6x = 31 Add '-1' to each side of the equation. 1 + -1 + 6x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 31 + -1 6x = 31 + -1 Combine like terms: 31 + -1 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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