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Simplifying x + 12 = -2x + 82 Reorder the terms: 12 + x = -2x + 82 Reorder the terms: 12 + x = 82 + -2x Solving 12 + x = 82 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + x + 2x = 82 + -2x + 2x Combine like terms: x + 2x = 3x 12 + 3x = 82 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 3x = 82 + 0 12 + 3x = 82 Add '-12' to each side of the equation. 12 + -12 + 3x = 82 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 82 + -12 3x = 82 + -12 Combine like terms: 82 + -12 = 70 3x = 70 Divide each side by '3'. x = 23.33333333 Simplifying x = 23.33333333
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