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Simplifying 0.333x + 10 = 0.75x + 5 Reorder the terms: 10 + 0.333x = 0.75x + 5 Reorder the terms: 10 + 0.333x = 5 + 0.75x Solving 10 + 0.333x = 5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 10 + 0.333x + -0.75x = 5 + 0.75x + -0.75x Combine like terms: 0.333x + -0.75x = -0.417x 10 + -0.417x = 5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 10 + -0.417x = 5 + 0.00 10 + -0.417x = 5 Add '-10' to each side of the equation. 10 + -10 + -0.417x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -0.417x = 5 + -10 -0.417x = 5 + -10 Combine like terms: 5 + -10 = -5 -0.417x = -5 Divide each side by '-0.417'. x = 11.99040767 Simplifying x = 11.99040767
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