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Simplifying (x + 15) * 100 = 150x Reorder the terms: (15 + x) * 100 = 150x Reorder the terms for easier multiplication: 100(15 + x) = 150x (15 * 100 + x * 100) = 150x (1500 + 100x) = 150x Solving 1500 + 100x = 150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150x' to each side of the equation. 1500 + 100x + -150x = 150x + -150x Combine like terms: 100x + -150x = -50x 1500 + -50x = 150x + -150x Combine like terms: 150x + -150x = 0 1500 + -50x = 0 Add '-1500' to each side of the equation. 1500 + -1500 + -50x = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -50x = 0 + -1500 -50x = 0 + -1500 Combine like terms: 0 + -1500 = -1500 -50x = -1500 Divide each side by '-50'. x = 30 Simplifying x = 30
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