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Simplifying 3x + 1 = 2x + 7 + -1x Reorder the terms: 1 + 3x = 2x + 7 + -1x Reorder the terms: 1 + 3x = 7 + 2x + -1x Combine like terms: 2x + -1x = 1x 1 + 3x = 7 + 1x Solving 1 + 3x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 3x + -1x = 7 + 1x + -1x Combine like terms: 3x + -1x = 2x 1 + 2x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 2x = 7 + 0 1 + 2x = 7 Add '-1' to each side of the equation. 1 + -1 + 2x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 7 + -1 2x = 7 + -1 Combine like terms: 7 + -1 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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