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Simplifying x + -5 + -0.1x = 12 + 0.5x Reorder the terms: -5 + x + -0.1x = 12 + 0.5x Combine like terms: x + -0.1x = 0.9x -5 + 0.9x = 12 + 0.5x Solving -5 + 0.9x = 12 + 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. -5 + 0.9x + -0.5x = 12 + 0.5x + -0.5x Combine like terms: 0.9x + -0.5x = 0.4x -5 + 0.4x = 12 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -5 + 0.4x = 12 + 0.0 -5 + 0.4x = 12 Add '5' to each side of the equation. -5 + 5 + 0.4x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 0.4x = 12 + 5 0.4x = 12 + 5 Combine like terms: 12 + 5 = 17 0.4x = 17 Divide each side by '0.4'. x = 42.5 Simplifying x = 42.5
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