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Simplifying 31 = 2(2x + 1) + 5 Reorder the terms: 31 = 2(1 + 2x) + 5 31 = (1 * 2 + 2x * 2) + 5 31 = (2 + 4x) + 5 Reorder the terms: 31 = 2 + 5 + 4x Combine like terms: 2 + 5 = 7 31 = 7 + 4x Solving 31 = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 31 + -4x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + -4x = 7 + 0 31 + -4x = 7 Add '-31' to each side of the equation. 31 + -31 + -4x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -4x = 7 + -31 -4x = 7 + -31 Combine like terms: 7 + -31 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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