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Simplifying x + 1 = 3x + 7 Reorder the terms: 1 + x = 3x + 7 Reorder the terms: 1 + x = 7 + 3x Solving 1 + x = 7 + 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 + x + -3x = 7 + 3x + -3x Combine like terms: x + -3x = -2x 1 + -2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 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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