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Simplifying 0.1x + -0.6x + -4 = 1 Reorder the terms: -4 + 0.1x + -0.6x = 1 Combine like terms: 0.1x + -0.6x = -0.5x -4 + -0.5x = 1 Solving -4 + -0.5x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -0.5x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -0.5x = 1 + 4 -0.5x = 1 + 4 Combine like terms: 1 + 4 = 5 -0.5x = 5 Divide each side by '-0.5'. x = -10 Simplifying x = -10
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