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Simplifying 2 * 6x + 2(6 + x) * 8 = 208 Multiply 2 * 6 12x + 2(6 + x) * 8 = 208 Reorder the terms for easier multiplication: 12x + 2 * 8(6 + x) = 208 Multiply 2 * 8 12x + 16(6 + x) = 208 12x + (6 * 16 + x * 16) = 208 12x + (96 + 16x) = 208 Reorder the terms: 96 + 12x + 16x = 208 Combine like terms: 12x + 16x = 28x 96 + 28x = 208 Solving 96 + 28x = 208 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 28x = 208 + -96 Combine like terms: 96 + -96 = 0 0 + 28x = 208 + -96 28x = 208 + -96 Combine like terms: 208 + -96 = 112 28x = 112 Divide each side by '28'. x = 4 Simplifying x = 4
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