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Simplifying 0.5x + -2 = 0.1x + 2 Reorder the terms: -2 + 0.5x = 0.1x + 2 Reorder the terms: -2 + 0.5x = 2 + 0.1x Solving -2 + 0.5x = 2 + 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. -2 + 0.5x + -0.1x = 2 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x -2 + 0.4x = 2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -2 + 0.4x = 2 + 0.0 -2 + 0.4x = 2 Add '2' to each side of the equation. -2 + 2 + 0.4x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 0.4x = 2 + 2 0.4x = 2 + 2 Combine like terms: 2 + 2 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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