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Simplifying 5x + -0.1 = 0.5x + -1 Reorder the terms: -0.1 + 5x = 0.5x + -1 Reorder the terms: -0.1 + 5x = -1 + 0.5x Solving -0.1 + 5x = -1 + 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. -0.1 + 5x + -0.5x = -1 + 0.5x + -0.5x Combine like terms: 5x + -0.5x = 4.5x -0.1 + 4.5x = -1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.1 + 4.5x = -1 + 0.0 -0.1 + 4.5x = -1 Add '0.1' to each side of the equation. -0.1 + 0.1 + 4.5x = -1 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 4.5x = -1 + 0.1 4.5x = -1 + 0.1 Combine like terms: -1 + 0.1 = -0.9 4.5x = -0.9 Divide each side by '4.5'. x = -0.2 Simplifying x = -0.2
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