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Simplifying 0.75x + 0.75 = 0.5x + 12.4 Reorder the terms: 0.75 + 0.75x = 0.5x + 12.4 Reorder the terms: 0.75 + 0.75x = 12.4 + 0.5x Solving 0.75 + 0.75x = 12.4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.75 + 0.75x + -0.5x = 12.4 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 0.75 + 0.25x = 12.4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.75 + 0.25x = 12.4 + 0.0 0.75 + 0.25x = 12.4 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.25x = 12.4 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.25x = 12.4 + -0.75 0.25x = 12.4 + -0.75 Combine like terms: 12.4 + -0.75 = 11.65 0.25x = 11.65 Divide each side by '0.25'. x = 46.6 Simplifying x = 46.6
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