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Simplifying 8(3x + 7) + 5(4x + 8) = 316 Reorder the terms: 8(7 + 3x) + 5(4x + 8) = 316 (7 * 8 + 3x * 8) + 5(4x + 8) = 316 (56 + 24x) + 5(4x + 8) = 316 Reorder the terms: 56 + 24x + 5(8 + 4x) = 316 56 + 24x + (8 * 5 + 4x * 5) = 316 56 + 24x + (40 + 20x) = 316 Reorder the terms: 56 + 40 + 24x + 20x = 316 Combine like terms: 56 + 40 = 96 96 + 24x + 20x = 316 Combine like terms: 24x + 20x = 44x 96 + 44x = 316 Solving 96 + 44x = 316 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 + 44x = 316 + -96 Combine like terms: 96 + -96 = 0 0 + 44x = 316 + -96 44x = 316 + -96 Combine like terms: 316 + -96 = 220 44x = 220 Divide each side by '44'. x = 5 Simplifying x = 5
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