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Simplifying 0.2x + 240 = 0.45x + 50 Reorder the terms: 240 + 0.2x = 0.45x + 50 Reorder the terms: 240 + 0.2x = 50 + 0.45x Solving 240 + 0.2x = 50 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 240 + 0.2x + -0.45x = 50 + 0.45x + -0.45x Combine like terms: 0.2x + -0.45x = -0.25x 240 + -0.25x = 50 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 240 + -0.25x = 50 + 0.00 240 + -0.25x = 50 Add '-240' to each side of the equation. 240 + -240 + -0.25x = 50 + -240 Combine like terms: 240 + -240 = 0 0 + -0.25x = 50 + -240 -0.25x = 50 + -240 Combine like terms: 50 + -240 = -190 -0.25x = -190 Divide each side by '-0.25'. x = 760 Simplifying x = 760
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