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Simplifying (4x + 100) + (6x + 100) + (2x + 100) = 2100 Reorder the terms: (100 + 4x) + (6x + 100) + (2x + 100) = 2100 Remove parenthesis around (100 + 4x) 100 + 4x + (6x + 100) + (2x + 100) = 2100 Reorder the terms: 100 + 4x + (100 + 6x) + (2x + 100) = 2100 Remove parenthesis around (100 + 6x) 100 + 4x + 100 + 6x + (2x + 100) = 2100 Reorder the terms: 100 + 4x + 100 + 6x + (100 + 2x) = 2100 Remove parenthesis around (100 + 2x) 100 + 4x + 100 + 6x + 100 + 2x = 2100 Reorder the terms: 100 + 100 + 100 + 4x + 6x + 2x = 2100 Combine like terms: 100 + 100 = 200 200 + 100 + 4x + 6x + 2x = 2100 Combine like terms: 200 + 100 = 300 300 + 4x + 6x + 2x = 2100 Combine like terms: 4x + 6x = 10x 300 + 10x + 2x = 2100 Combine like terms: 10x + 2x = 12x 300 + 12x = 2100 Solving 300 + 12x = 2100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + 12x = 2100 + -300 Combine like terms: 300 + -300 = 0 0 + 12x = 2100 + -300 12x = 2100 + -300 Combine like terms: 2100 + -300 = 1800 12x = 1800 Divide each side by '12'. x = 150 Simplifying x = 150
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