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Simplifying 0.1x + -0.9x + -39 = 1 Reorder the terms: -39 + 0.1x + -0.9x = 1 Combine like terms: 0.1x + -0.9x = -0.8x -39 + -0.8x = 1 Solving -39 + -0.8x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -0.8x = 1 + 39 Combine like terms: -39 + 39 = 0 0 + -0.8x = 1 + 39 -0.8x = 1 + 39 Combine like terms: 1 + 39 = 40 -0.8x = 40 Divide each side by '-0.8'. x = -50 Simplifying x = -50
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