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Simplifying 8 + -0.25x = 0.5x + 1 Reorder the terms: 8 + -0.25x = 1 + 0.5x Solving 8 + -0.25x = 1 + 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 + -0.25x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: -0.25x + -0.5x = -0.75x 8 + -0.75x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + -0.75x = 1 + 0.0 8 + -0.75x = 1 Add '-8' to each side of the equation. 8 + -8 + -0.75x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -0.75x = 1 + -8 -0.75x = 1 + -8 Combine like terms: 1 + -8 = -7 -0.75x = -7 Divide each side by '-0.75'. x = 9.333333333 Simplifying x = 9.333333333
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