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Simplifying 2[7(x + 3) + -8] = 54 Reorder the terms: 2[7(3 + x) + -8] = 54 2[(3 * 7 + x * 7) + -8] = 54 2[(21 + 7x) + -8] = 54 Reorder the terms: 2[21 + -8 + 7x] = 54 Combine like terms: 21 + -8 = 13 2[13 + 7x] = 54 [13 * 2 + 7x * 2] = 54 [26 + 14x] = 54 Solving 26 + 14x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 14x = 54 + -26 Combine like terms: 26 + -26 = 0 0 + 14x = 54 + -26 14x = 54 + -26 Combine like terms: 54 + -26 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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