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Simplifying 8(8 + 4x) + 15(5 + 3x) = 447 (8 * 8 + 4x * 8) + 15(5 + 3x) = 447 (64 + 32x) + 15(5 + 3x) = 447 64 + 32x + (5 * 15 + 3x * 15) = 447 64 + 32x + (75 + 45x) = 447 Reorder the terms: 64 + 75 + 32x + 45x = 447 Combine like terms: 64 + 75 = 139 139 + 32x + 45x = 447 Combine like terms: 32x + 45x = 77x 139 + 77x = 447 Solving 139 + 77x = 447 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-139' to each side of the equation. 139 + -139 + 77x = 447 + -139 Combine like terms: 139 + -139 = 0 0 + 77x = 447 + -139 77x = 447 + -139 Combine like terms: 447 + -139 = 308 77x = 308 Divide each side by '77'. x = 4 Simplifying x = 4
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