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Simplifying 8 + -0.5x = 0.25x + -7 Reorder the terms: 8 + -0.5x = -7 + 0.25x Solving 8 + -0.5x = -7 + 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. 8 + -0.5x + -0.25x = -7 + 0.25x + -0.25x Combine like terms: -0.5x + -0.25x = -0.75x 8 + -0.75x = -7 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 8 + -0.75x = -7 + 0.00 8 + -0.75x = -7 Add '-8' to each side of the equation. 8 + -8 + -0.75x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -0.75x = -7 + -8 -0.75x = -7 + -8 Combine like terms: -7 + -8 = -15 -0.75x = -15 Divide each side by '-0.75'. x = 20 Simplifying x = 20
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