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Simplifying 0.1x + -0.1(6 + -1x) = -0.1 0.1x + (6 * -0.1 + -1x * -0.1) = -0.1 0.1x + (-0.6 + 0.1x) = -0.1 Reorder the terms: -0.6 + 0.1x + 0.1x = -0.1 Combine like terms: 0.1x + 0.1x = 0.2x -0.6 + 0.2x = -0.1 Solving -0.6 + 0.2x = -0.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.2x = -0.1 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.2x = -0.1 + 0.6 0.2x = -0.1 + 0.6 Combine like terms: -0.1 + 0.6 = 0.5 0.2x = 0.5 Divide each side by '0.2'. x = 2.5 Simplifying x = 2.5
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