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Simplifying 6x + 2(x + 7) = 46 Reorder the terms: 6x + 2(7 + x) = 46 6x + (7 * 2 + x * 2) = 46 6x + (14 + 2x) = 46 Reorder the terms: 14 + 6x + 2x = 46 Combine like terms: 6x + 2x = 8x 14 + 8x = 46 Solving 14 + 8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 46 + -14 8x = 46 + -14 Combine like terms: 46 + -14 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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