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Simplifying 15x + 31 = 7x + 82 Reorder the terms: 31 + 15x = 7x + 82 Reorder the terms: 31 + 15x = 82 + 7x Solving 31 + 15x = 82 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 31 + 15x + -7x = 82 + 7x + -7x Combine like terms: 15x + -7x = 8x 31 + 8x = 82 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + 8x = 82 + 0 31 + 8x = 82 Add '-31' to each side of the equation. 31 + -31 + 8x = 82 + -31 Combine like terms: 31 + -31 = 0 0 + 8x = 82 + -31 8x = 82 + -31 Combine like terms: 82 + -31 = 51 8x = 51 Divide each side by '8'. x = 6.375 Simplifying x = 6.375
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