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Simplifying 3x + 12 = 82 + -4x Reorder the terms: 12 + 3x = 82 + -4x Solving 12 + 3x = 82 + -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. 12 + 3x + 4x = 82 + -4x + 4x Combine like terms: 3x + 4x = 7x 12 + 7x = 82 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 7x = 82 + 0 12 + 7x = 82 Add '-12' to each side of the equation. 12 + -12 + 7x = 82 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 82 + -12 7x = 82 + -12 Combine like terms: 82 + -12 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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