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Simplifying 2(6x + 7) = 20 + 6x Reorder the terms: 2(7 + 6x) = 20 + 6x (7 * 2 + 6x * 2) = 20 + 6x (14 + 12x) = 20 + 6x Solving 14 + 12x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 12x + -6x = 20 + 6x + -6x Combine like terms: 12x + -6x = 6x 14 + 6x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 6x = 20 + 0 14 + 6x = 20 Add '-14' to each side of the equation. 14 + -14 + 6x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 20 + -14 6x = 20 + -14 Combine like terms: 20 + -14 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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