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Simplifying 2(7 + 6x) = 34 + 8x (7 * 2 + 6x * 2) = 34 + 8x (14 + 12x) = 34 + 8x Solving 14 + 12x = 34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 12x + -8x = 34 + 8x + -8x Combine like terms: 12x + -8x = 4x 14 + 4x = 34 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 4x = 34 + 0 14 + 4x = 34 Add '-14' to each side of the equation. 14 + -14 + 4x = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 34 + -14 4x = 34 + -14 Combine like terms: 34 + -14 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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