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Simplifying x + 2x + 4x + 5 = 460 Reorder the terms: 5 + x + 2x + 4x = 460 Combine like terms: x + 2x = 3x 5 + 3x + 4x = 460 Combine like terms: 3x + 4x = 7x 5 + 7x = 460 Solving 5 + 7x = 460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 460 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 460 + -5 7x = 460 + -5 Combine like terms: 460 + -5 = 455 7x = 455 Divide each side by '7'. x = 65 Simplifying x = 65
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