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Simplifying 100 * 1.50x + 100 * 3.50(395 + -1x) = 100 * 830.50 Multiply 100 * 1.50 150x + 100 * 3.50(395 + -1x) = 100 * 830.50 Multiply 100 * 3.50 150x + 350(395 + -1x) = 100 * 830.50 150x + (395 * 350 + -1x * 350) = 100 * 830.50 150x + (138250 + -350x) = 100 * 830.50 Reorder the terms: 138250 + 150x + -350x = 100 * 830.50 Combine like terms: 150x + -350x = -200x 138250 + -200x = 100 * 830.50 Multiply 100 * 830.50 138250 + -200x = 83050 Solving 138250 + -200x = 83050 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-138250' to each side of the equation. 138250 + -138250 + -200x = 83050 + -138250 Combine like terms: 138250 + -138250 = 0 0 + -200x = 83050 + -138250 -200x = 83050 + -138250 Combine like terms: 83050 + -138250 = -55200 -200x = -55200 Divide each side by '-200'. x = 276 Simplifying x = 276
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