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Simplifying 38x + 45(100 + -1x) = 41 * 100 38x + (100 * 45 + -1x * 45) = 41 * 100 38x + (4500 + -45x) = 41 * 100 Reorder the terms: 4500 + 38x + -45x = 41 * 100 Combine like terms: 38x + -45x = -7x 4500 + -7x = 41 * 100 Multiply 41 * 100 4500 + -7x = 4100 Solving 4500 + -7x = 4100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4500' to each side of the equation. 4500 + -4500 + -7x = 4100 + -4500 Combine like terms: 4500 + -4500 = 0 0 + -7x = 4100 + -4500 -7x = 4100 + -4500 Combine like terms: 4100 + -4500 = -400 -7x = -400 Divide each side by '-7'. x = 57.14285714 Simplifying x = 57.14285714
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