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Simplifying 2(x + 7) + 2(x + 5) = 96 Reorder the terms: 2(7 + x) + 2(x + 5) = 96 (7 * 2 + x * 2) + 2(x + 5) = 96 (14 + 2x) + 2(x + 5) = 96 Reorder the terms: 14 + 2x + 2(5 + x) = 96 14 + 2x + (5 * 2 + x * 2) = 96 14 + 2x + (10 + 2x) = 96 Reorder the terms: 14 + 10 + 2x + 2x = 96 Combine like terms: 14 + 10 = 24 24 + 2x + 2x = 96 Combine like terms: 2x + 2x = 4x 24 + 4x = 96 Solving 24 + 4x = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4x = 96 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 96 + -24 4x = 96 + -24 Combine like terms: 96 + -24 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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