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Simplifying 500 = 0.5x * 150 Reorder the terms for easier multiplication: 500 = 0.5 * 150x Multiply 0.5 * 150 500 = 75x Solving 500 = 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 500 + -75x = 75x + -75x Combine like terms: 75x + -75x = 0 500 + -75x = 0 Add '-500' to each side of the equation. 500 + -500 + -75x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -75x = 0 + -500 -75x = 0 + -500 Combine like terms: 0 + -500 = -500 -75x = -500 Divide each side by '-75'. x = 6.666666667 Simplifying x = 6.666666667
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