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Simplifying 0.5x + 12.5 = x + -6.75 Reorder the terms: 12.5 + 0.5x = x + -6.75 Reorder the terms: 12.5 + 0.5x = -6.75 + x Solving 12.5 + 0.5x = -6.75 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12.5 + 0.5x + -1x = -6.75 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 12.5 + -0.5x = -6.75 + x + -1x Combine like terms: x + -1x = 0 12.5 + -0.5x = -6.75 + 0 12.5 + -0.5x = -6.75 Add '-12.5' to each side of the equation. 12.5 + -12.5 + -0.5x = -6.75 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -0.5x = -6.75 + -12.5 -0.5x = -6.75 + -12.5 Combine like terms: -6.75 + -12.5 = -19.25 -0.5x = -19.25 Divide each side by '-0.5'. x = 38.5 Simplifying x = 38.5
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