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Simplifying 3x + 1 + -2x + 30 = 1 + -1x Reorder the terms: 1 + 30 + 3x + -2x = 1 + -1x Combine like terms: 1 + 30 = 31 31 + 3x + -2x = 1 + -1x Combine like terms: 3x + -2x = 1x 31 + 1x = 1 + -1x Solving 31 + 1x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 31 + 1x + x = 1 + -1x + x Combine like terms: 1x + x = 2x 31 + 2x = 1 + -1x + x Combine like terms: -1x + x = 0 31 + 2x = 1 + 0 31 + 2x = 1 Add '-31' to each side of the equation. 31 + -31 + 2x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 1 + -31 2x = 1 + -31 Combine like terms: 1 + -31 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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