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Simplifying 3x + 11 = 67 + -5x Reorder the terms: 11 + 3x = 67 + -5x Solving 11 + 3x = 67 + -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. 11 + 3x + 5x = 67 + -5x + 5x Combine like terms: 3x + 5x = 8x 11 + 8x = 67 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + 8x = 67 + 0 11 + 8x = 67 Add '-11' to each side of the equation. 11 + -11 + 8x = 67 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 67 + -11 8x = 67 + -11 Combine like terms: 67 + -11 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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