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Simplifying -0.25x + 7 = 0.5x + 31 Reorder the terms: 7 + -0.25x = 0.5x + 31 Reorder the terms: 7 + -0.25x = 31 + 0.5x Solving 7 + -0.25x = 31 + 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. 7 + -0.25x + -0.5x = 31 + 0.5x + -0.5x Combine like terms: -0.25x + -0.5x = -0.75x 7 + -0.75x = 31 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 7 + -0.75x = 31 + 0.0 7 + -0.75x = 31 Add '-7' to each side of the equation. 7 + -7 + -0.75x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -0.75x = 31 + -7 -0.75x = 31 + -7 Combine like terms: 31 + -7 = 24 -0.75x = 24 Divide each side by '-0.75'. x = -32 Simplifying x = -32
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