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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 = 7 0.4x = 7 Divide each side by '0.4'. x = 17.5 Simplifying x = 17.5
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