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Simplifying x + -5 = 0.1x + 0.5 Reorder the terms: -5 + x = 0.1x + 0.5 Reorder the terms: -5 + x = 0.5 + 0.1x Solving -5 + x = 0.5 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -5 + x + -0.1x = 0.5 + 0.1x + -0.1x Combine like terms: x + -0.1x = 0.9x -5 + 0.9x = 0.5 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -5 + 0.9x = 0.5 + 0.0 -5 + 0.9x = 0.5 Add '5' to each side of the equation. -5 + 5 + 0.9x = 0.5 + 5 Combine like terms: -5 + 5 = 0 0 + 0.9x = 0.5 + 5 0.9x = 0.5 + 5 Combine like terms: 0.5 + 5 = 5.5 0.9x = 5.5 Divide each side by '0.9'. x = 6.111111111 Simplifying x = 6.111111111
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