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Simplifying 0.5x + 150 = -0.928571x + 175.714 Reorder the terms: 150 + 0.5x = -0.928571x + 175.714 Reorder the terms: 150 + 0.5x = 175.714 + -0.928571x Solving 150 + 0.5x = 175.714 + -0.928571x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.928571x' to each side of the equation. 150 + 0.5x + 0.928571x = 175.714 + -0.928571x + 0.928571x Combine like terms: 0.5x + 0.928571x = 1.428571x 150 + 1.428571x = 175.714 + -0.928571x + 0.928571x Combine like terms: -0.928571x + 0.928571x = 0.000000 150 + 1.428571x = 175.714 + 0.000000 150 + 1.428571x = 175.714 Add '-150' to each side of the equation. 150 + -150 + 1.428571x = 175.714 + -150 Combine like terms: 150 + -150 = 0 0 + 1.428571x = 175.714 + -150 1.428571x = 175.714 + -150 Combine like terms: 175.714 + -150 = 25.714 1.428571x = 25.714 Divide each side by '1.428571'. x = 17.9998054 Simplifying x = 17.9998054
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