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Simplifying 17 + 3(x + 2) = x + 31 Reorder the terms: 17 + 3(2 + x) = x + 31 17 + (2 * 3 + x * 3) = x + 31 17 + (6 + 3x) = x + 31 Combine like terms: 17 + 6 = 23 23 + 3x = x + 31 Reorder the terms: 23 + 3x = 31 + x Solving 23 + 3x = 31 + 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. 23 + 3x + -1x = 31 + x + -1x Combine like terms: 3x + -1x = 2x 23 + 2x = 31 + x + -1x Combine like terms: x + -1x = 0 23 + 2x = 31 + 0 23 + 2x = 31 Add '-23' to each side of the equation. 23 + -23 + 2x = 31 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 31 + -23 2x = 31 + -23 Combine like terms: 31 + -23 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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