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Simplifying 0.5x + 5 = 3.5x + 12.5 Reorder the terms: 5 + 0.5x = 3.5x + 12.5 Reorder the terms: 5 + 0.5x = 12.5 + 3.5x Solving 5 + 0.5x = 12.5 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 5 + 0.5x + -3.5x = 12.5 + 3.5x + -3.5x Combine like terms: 0.5x + -3.5x = -3x 5 + -3x = 12.5 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 5 + -3x = 12.5 + 0.0 5 + -3x = 12.5 Add '-5' to each side of the equation. 5 + -5 + -3x = 12.5 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 12.5 + -5 -3x = 12.5 + -5 Combine like terms: 12.5 + -5 = 7.5 -3x = 7.5 Divide each side by '-3'. x = -2.5 Simplifying x = -2.5
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