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Simplifying 3 + 2(2x + 1) = x + 17 Reorder the terms: 3 + 2(1 + 2x) = x + 17 3 + (1 * 2 + 2x * 2) = x + 17 3 + (2 + 4x) = x + 17 Combine like terms: 3 + 2 = 5 5 + 4x = x + 17 Reorder the terms: 5 + 4x = 17 + x Solving 5 + 4x = 17 + 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. 5 + 4x + -1x = 17 + x + -1x Combine like terms: 4x + -1x = 3x 5 + 3x = 17 + x + -1x Combine like terms: x + -1x = 0 5 + 3x = 17 + 0 5 + 3x = 17 Add '-5' to each side of the equation. 5 + -5 + 3x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 17 + -5 3x = 17 + -5 Combine like terms: 17 + -5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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