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Simplifying 0.5x + 4 = 0.75x + 6 Reorder the terms: 4 + 0.5x = 0.75x + 6 Reorder the terms: 4 + 0.5x = 6 + 0.75x Solving 4 + 0.5x = 6 + 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. 4 + 0.5x + -0.75x = 6 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 4 + -0.25x = 6 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 4 + -0.25x = 6 + 0.00 4 + -0.25x = 6 Add '-4' to each side of the equation. 4 + -4 + -0.25x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -0.25x = 6 + -4 -0.25x = 6 + -4 Combine like terms: 6 + -4 = 2 -0.25x = 2 Divide each side by '-0.25'. x = -8 Simplifying x = -8
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