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Simplifying x + 2x + 6x + 1 = 46 Reorder the terms: 1 + x + 2x + 6x = 46 Combine like terms: x + 2x = 3x 1 + 3x + 6x = 46 Combine like terms: 3x + 6x = 9x 1 + 9x = 46 Solving 1 + 9x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9x = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 46 + -1 9x = 46 + -1 Combine like terms: 46 + -1 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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