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Simplifying 2x + 106 = 5x + 82 Reorder the terms: 106 + 2x = 5x + 82 Reorder the terms: 106 + 2x = 82 + 5x Solving 106 + 2x = 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. 106 + 2x + -5x = 82 + 5x + -5x Combine like terms: 2x + -5x = -3x 106 + -3x = 82 + 5x + -5x Combine like terms: 5x + -5x = 0 106 + -3x = 82 + 0 106 + -3x = 82 Add '-106' to each side of the equation. 106 + -106 + -3x = 82 + -106 Combine like terms: 106 + -106 = 0 0 + -3x = 82 + -106 -3x = 82 + -106 Combine like terms: 82 + -106 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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