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Simplifying 3(x + 2) + 8 = 2(x + 1) Reorder the terms: 3(2 + x) + 8 = 2(x + 1) (2 * 3 + x * 3) + 8 = 2(x + 1) (6 + 3x) + 8 = 2(x + 1) Reorder the terms: 6 + 8 + 3x = 2(x + 1) Combine like terms: 6 + 8 = 14 14 + 3x = 2(x + 1) Reorder the terms: 14 + 3x = 2(1 + x) 14 + 3x = (1 * 2 + x * 2) 14 + 3x = (2 + 2x) Solving 14 + 3x = 2 + 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. 14 + 3x + -2x = 2 + 2x + -2x Combine like terms: 3x + -2x = 1x 14 + 1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 1x = 2 + 0 14 + 1x = 2 Add '-14' to each side of the equation. 14 + -14 + 1x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 2 + -14 1x = 2 + -14 Combine like terms: 2 + -14 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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