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Simplifying 10 + -0.25x = 0.5x + 4 Reorder the terms: 10 + -0.25x = 4 + 0.5x Solving 10 + -0.25x = 4 + 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. 10 + -0.25x + -0.5x = 4 + 0.5x + -0.5x Combine like terms: -0.25x + -0.5x = -0.75x 10 + -0.75x = 4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 10 + -0.75x = 4 + 0.0 10 + -0.75x = 4 Add '-10' to each side of the equation. 10 + -10 + -0.75x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -0.75x = 4 + -10 -0.75x = 4 + -10 Combine like terms: 4 + -10 = -6 -0.75x = -6 Divide each side by '-0.75'. x = 8 Simplifying x = 8
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