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Simplifying 100x + 50(x + 51) + 20(3x) = 9900 Reorder the terms: 100x + 50(51 + x) + 20(3x) = 9900 100x + (51 * 50 + x * 50) + 20(3x) = 9900 100x + (2550 + 50x) + 20(3x) = 9900 Remove parenthesis around (3x) 100x + 2550 + 50x + 20 * 3x = 9900 Multiply 20 * 3 100x + 2550 + 50x + 60x = 9900 Reorder the terms: 2550 + 100x + 50x + 60x = 9900 Combine like terms: 100x + 50x = 150x 2550 + 150x + 60x = 9900 Combine like terms: 150x + 60x = 210x 2550 + 210x = 9900 Solving 2550 + 210x = 9900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2550' to each side of the equation. 2550 + -2550 + 210x = 9900 + -2550 Combine like terms: 2550 + -2550 = 0 0 + 210x = 9900 + -2550 210x = 9900 + -2550 Combine like terms: 9900 + -2550 = 7350 210x = 7350 Divide each side by '210'. x = 35 Simplifying x = 35
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