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Simplifying 3(x + 8) + 4(x + 5) + 5x = 800 Reorder the terms: 3(8 + x) + 4(x + 5) + 5x = 800 (8 * 3 + x * 3) + 4(x + 5) + 5x = 800 (24 + 3x) + 4(x + 5) + 5x = 800 Reorder the terms: 24 + 3x + 4(5 + x) + 5x = 800 24 + 3x + (5 * 4 + x * 4) + 5x = 800 24 + 3x + (20 + 4x) + 5x = 800 Reorder the terms: 24 + 20 + 3x + 4x + 5x = 800 Combine like terms: 24 + 20 = 44 44 + 3x + 4x + 5x = 800 Combine like terms: 3x + 4x = 7x 44 + 7x + 5x = 800 Combine like terms: 7x + 5x = 12x 44 + 12x = 800 Solving 44 + 12x = 800 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 12x = 800 + -44 Combine like terms: 44 + -44 = 0 0 + 12x = 800 + -44 12x = 800 + -44 Combine like terms: 800 + -44 = 756 12x = 756 Divide each side by '12'. x = 63 Simplifying x = 63
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