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Simplifying 100x + 50(x + 54) + 20 * 3x = 8160 Reorder the terms: 100x + 50(54 + x) + 20 * 3x = 8160 100x + (54 * 50 + x * 50) + 20 * 3x = 8160 100x + (2700 + 50x) + 20 * 3x = 8160 Multiply 20 * 3 100x + 2700 + 50x + 60x = 8160 Reorder the terms: 2700 + 100x + 50x + 60x = 8160 Combine like terms: 100x + 50x = 150x 2700 + 150x + 60x = 8160 Combine like terms: 150x + 60x = 210x 2700 + 210x = 8160 Solving 2700 + 210x = 8160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2700' to each side of the equation. 2700 + -2700 + 210x = 8160 + -2700 Combine like terms: 2700 + -2700 = 0 0 + 210x = 8160 + -2700 210x = 8160 + -2700 Combine like terms: 8160 + -2700 = 5460 210x = 5460 Divide each side by '210'. x = 26 Simplifying x = 26
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