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Simplifying 0.1x + -0.9x + -55 = 1 Reorder the terms: -55 + 0.1x + -0.9x = 1 Combine like terms: 0.1x + -0.9x = -0.8x -55 + -0.8x = 1 Solving -55 + -0.8x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -0.8x = 1 + 55 Combine like terms: -55 + 55 = 0 0 + -0.8x = 1 + 55 -0.8x = 1 + 55 Combine like terms: 1 + 55 = 56 -0.8x = 56 Divide each side by '-0.8'. x = -70 Simplifying x = -70
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