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Simplifying 10 + x = -5x + 82 Reorder the terms: 10 + x = 82 + -5x Solving 10 + x = 82 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + x + 5x = 82 + -5x + 5x Combine like terms: x + 5x = 6x 10 + 6x = 82 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 6x = 82 + 0 10 + 6x = 82 Add '-10' to each side of the equation. 10 + -10 + 6x = 82 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 82 + -10 6x = 82 + -10 Combine like terms: 82 + -10 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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