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Simplifying 0.2x + -0.9x + -6 = 1 Reorder the terms: -6 + 0.2x + -0.9x = 1 Combine like terms: 0.2x + -0.9x = -0.7x -6 + -0.7x = 1 Solving -6 + -0.7x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -0.7x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -0.7x = 1 + 6 -0.7x = 1 + 6 Combine like terms: 1 + 6 = 7 -0.7x = 7 Divide each side by '-0.7'. x = -10 Simplifying x = -10
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