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Simplifying x + 2x + 3x + 4x + 90 + 10 = 500 Reorder the terms: 90 + 10 + x + 2x + 3x + 4x = 500 Combine like terms: 90 + 10 = 100 100 + x + 2x + 3x + 4x = 500 Combine like terms: x + 2x = 3x 100 + 3x + 3x + 4x = 500 Combine like terms: 3x + 3x = 6x 100 + 6x + 4x = 500 Combine like terms: 6x + 4x = 10x 100 + 10x = 500 Solving 100 + 10x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 10x = 500 + -100 Combine like terms: 100 + -100 = 0 0 + 10x = 500 + -100 10x = 500 + -100 Combine like terms: 500 + -100 = 400 10x = 400 Divide each side by '10'. x = 40 Simplifying x = 40
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