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Simplifying 0.75x + 8 = -20 + 0.5x Reorder the terms: 8 + 0.75x = -20 + 0.5x Solving 8 + 0.75x = -20 + 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. 8 + 0.75x + -0.5x = -20 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 8 + 0.25x = -20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + 0.25x = -20 + 0.0 8 + 0.25x = -20 Add '-8' to each side of the equation. 8 + -8 + 0.25x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 0.25x = -20 + -8 0.25x = -20 + -8 Combine like terms: -20 + -8 = -28 0.25x = -28 Divide each side by '0.25'. x = -112 Simplifying x = -112
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