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Simplifying 3x + 11 = 83 + -3x Reorder the terms: 11 + 3x = 83 + -3x Solving 11 + 3x = 83 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 11 + 3x + 3x = 83 + -3x + 3x Combine like terms: 3x + 3x = 6x 11 + 6x = 83 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 6x = 83 + 0 11 + 6x = 83 Add '-11' to each side of the equation. 11 + -11 + 6x = 83 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 83 + -11 6x = 83 + -11 Combine like terms: 83 + -11 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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