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Simplifying 0.5x + 0.75 + 4.6 = -0.25x Reorder the terms: 0.75 + 4.6 + 0.5x = -0.25x Combine like terms: 0.75 + 4.6 = 5.35 5.35 + 0.5x = -0.25x Solving 5.35 + 0.5x = -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. 5.35 + 0.5x + 0.25x = -0.25x + 0.25x Combine like terms: 0.5x + 0.25x = 0.75x 5.35 + 0.75x = -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 5.35 + 0.75x = 0.00 Add '-5.35' to each side of the equation. 5.35 + -5.35 + 0.75x = 0.00 + -5.35 Combine like terms: 5.35 + -5.35 = 0.00 0.00 + 0.75x = 0.00 + -5.35 0.75x = 0.00 + -5.35 Combine like terms: 0.00 + -5.35 = -5.35 0.75x = -5.35 Divide each side by '0.75'. x = -7.133333333 Simplifying x = -7.133333333
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