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Simplifying 1 + 3x = -2x + 31 Reorder the terms: 1 + 3x = 31 + -2x Solving 1 + 3x = 31 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 3x + 2x = 31 + -2x + 2x Combine like terms: 3x + 2x = 5x 1 + 5x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 5x = 31 + 0 1 + 5x = 31 Add '-1' to each side of the equation. 1 + -1 + 5x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 31 + -1 5x = 31 + -1 Combine like terms: 31 + -1 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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