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Simplifying 6x + 11 = 46 + x Reorder the terms: 11 + 6x = 46 + x Solving 11 + 6x = 46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11 + 6x + -1x = 46 + x + -1x Combine like terms: 6x + -1x = 5x 11 + 5x = 46 + x + -1x Combine like terms: x + -1x = 0 11 + 5x = 46 + 0 11 + 5x = 46 Add '-11' to each side of the equation. 11 + -11 + 5x = 46 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 46 + -11 5x = 46 + -11 Combine like terms: 46 + -11 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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