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Simplifying x + 4 + 7x + 2 = 46 Reorder the terms: 4 + 2 + x + 7x = 46 Combine like terms: 4 + 2 = 6 6 + x + 7x = 46 Combine like terms: x + 7x = 8x 6 + 8x = 46 Solving 6 + 8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 46 + -6 8x = 46 + -6 Combine like terms: 46 + -6 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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