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Simplifying 3(x + 1) + 11 = 2(x + 8) Reorder the terms: 3(1 + x) + 11 = 2(x + 8) (1 * 3 + x * 3) + 11 = 2(x + 8) (3 + 3x) + 11 = 2(x + 8) Reorder the terms: 3 + 11 + 3x = 2(x + 8) Combine like terms: 3 + 11 = 14 14 + 3x = 2(x + 8) Reorder the terms: 14 + 3x = 2(8 + x) 14 + 3x = (8 * 2 + x * 2) 14 + 3x = (16 + 2x) Solving 14 + 3x = 16 + 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 = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x 14 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 1x = 16 + 0 14 + 1x = 16 Add '-14' to each side of the equation. 14 + -14 + 1x = 16 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 16 + -14 1x = 16 + -14 Combine like terms: 16 + -14 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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