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Simplifying 31 + x = 2(2x + 8) Reorder the terms: 31 + x = 2(8 + 2x) 31 + x = (8 * 2 + 2x * 2) 31 + x = (16 + 4x) Solving 31 + x = 16 + 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 + x + -4x = 16 + 4x + -4x Combine like terms: x + -4x = -3x 31 + -3x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + -3x = 16 + 0 31 + -3x = 16 Add '-31' to each side of the equation. 31 + -31 + -3x = 16 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = 16 + -31 -3x = 16 + -31 Combine like terms: 16 + -31 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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