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Simplifying 5x + 12 = 82 + -5x Reorder the terms: 12 + 5x = 82 + -5x Solving 12 + 5x = 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. 12 + 5x + 5x = 82 + -5x + 5x Combine like terms: 5x + 5x = 10x 12 + 10x = 82 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 10x = 82 + 0 12 + 10x = 82 Add '-12' to each side of the equation. 12 + -12 + 10x = 82 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 82 + -12 10x = 82 + -12 Combine like terms: 82 + -12 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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