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Simplifying 0.5x + 150 = -0.791339x + 186.693 Reorder the terms: 150 + 0.5x = -0.791339x + 186.693 Reorder the terms: 150 + 0.5x = 186.693 + -0.791339x Solving 150 + 0.5x = 186.693 + -0.791339x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.791339x' to each side of the equation. 150 + 0.5x + 0.791339x = 186.693 + -0.791339x + 0.791339x Combine like terms: 0.5x + 0.791339x = 1.291339x 150 + 1.291339x = 186.693 + -0.791339x + 0.791339x Combine like terms: -0.791339x + 0.791339x = 0.000000 150 + 1.291339x = 186.693 + 0.000000 150 + 1.291339x = 186.693 Add '-150' to each side of the equation. 150 + -150 + 1.291339x = 186.693 + -150 Combine like terms: 150 + -150 = 0 0 + 1.291339x = 186.693 + -150 1.291339x = 186.693 + -150 Combine like terms: 186.693 + -150 = 36.693 1.291339x = 36.693 Divide each side by '1.291339'. x = 28.41469204 Simplifying x = 28.41469204
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