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Simplifying 0.1x + -0.5(x + -2) = 2 Reorder the terms: 0.1x + -0.5(-2 + x) = 2 0.1x + (-2 * -0.5 + x * -0.5) = 2 0.1x + (1 + -0.5x) = 2 Reorder the terms: 1 + 0.1x + -0.5x = 2 Combine like terms: 0.1x + -0.5x = -0.4x 1 + -0.4x = 2 Solving 1 + -0.4x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -0.4x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4x = 2 + -1 -0.4x = 2 + -1 Combine like terms: 2 + -1 = 1 -0.4x = 1 Divide each side by '-0.4'. x = -2.5 Simplifying x = -2.5
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