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Simplifying 3(x + 2) + 1 = x + 1 Reorder the terms: 3(2 + x) + 1 = x + 1 (2 * 3 + x * 3) + 1 = x + 1 (6 + 3x) + 1 = x + 1 Reorder the terms: 6 + 1 + 3x = x + 1 Combine like terms: 6 + 1 = 7 7 + 3x = x + 1 Reorder the terms: 7 + 3x = 1 + x Solving 7 + 3x = 1 + x 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. 7 + 3x + -1x = 1 + x + -1x Combine like terms: 3x + -1x = 2x 7 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 7 + 2x = 1 + 0 7 + 2x = 1 Add '-7' to each side of the equation. 7 + -7 + 2x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 1 + -7 2x = 1 + -7 Combine like terms: 1 + -7 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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