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Simplifying 12x + -13 = 0.5x + 17 Reorder the terms: -13 + 12x = 0.5x + 17 Reorder the terms: -13 + 12x = 17 + 0.5x Solving -13 + 12x = 17 + 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. -13 + 12x + -0.5x = 17 + 0.5x + -0.5x Combine like terms: 12x + -0.5x = 11.5x -13 + 11.5x = 17 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -13 + 11.5x = 17 + 0.0 -13 + 11.5x = 17 Add '13' to each side of the equation. -13 + 13 + 11.5x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 11.5x = 17 + 13 11.5x = 17 + 13 Combine like terms: 17 + 13 = 30 11.5x = 30 Divide each side by '11.5'. x = 2.608695652 Simplifying x = 2.608695652
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