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Simplifying 0.5x + 3 = 0.75x + -7.75 Reorder the terms: 3 + 0.5x = 0.75x + -7.75 Reorder the terms: 3 + 0.5x = -7.75 + 0.75x Solving 3 + 0.5x = -7.75 + 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. 3 + 0.5x + -0.75x = -7.75 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 3 + -0.25x = -7.75 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3 + -0.25x = -7.75 + 0.00 3 + -0.25x = -7.75 Add '-3' to each side of the equation. 3 + -3 + -0.25x = -7.75 + -3 Combine like terms: 3 + -3 = 0 0 + -0.25x = -7.75 + -3 -0.25x = -7.75 + -3 Combine like terms: -7.75 + -3 = -10.75 -0.25x = -10.75 Divide each side by '-0.25'. x = 43 Simplifying x = 43
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