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Simplifying 100x + 50(x + 36) + 20(3x) = 8730 Reorder the terms: 100x + 50(36 + x) + 20(3x) = 8730 100x + (36 * 50 + x * 50) + 20(3x) = 8730 100x + (1800 + 50x) + 20(3x) = 8730 Remove parenthesis around (3x) 100x + 1800 + 50x + 20 * 3x = 8730 Multiply 20 * 3 100x + 1800 + 50x + 60x = 8730 Reorder the terms: 1800 + 100x + 50x + 60x = 8730 Combine like terms: 100x + 50x = 150x 1800 + 150x + 60x = 8730 Combine like terms: 150x + 60x = 210x 1800 + 210x = 8730 Solving 1800 + 210x = 8730 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1800' to each side of the equation. 1800 + -1800 + 210x = 8730 + -1800 Combine like terms: 1800 + -1800 = 0 0 + 210x = 8730 + -1800 210x = 8730 + -1800 Combine like terms: 8730 + -1800 = 6930 210x = 6930 Divide each side by '210'. x = 33 Simplifying x = 33
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