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Simplifying 0.1x + -5(6 + -1x) = -0.9 0.1x + (6 * -5 + -1x * -5) = -0.9 0.1x + (-30 + 5x) = -0.9 Reorder the terms: -30 + 0.1x + 5x = -0.9 Combine like terms: 0.1x + 5x = 5.1x -30 + 5.1x = -0.9 Solving -30 + 5.1x = -0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 5.1x = -0.9 + 30 Combine like terms: -30 + 30 = 0 0 + 5.1x = -0.9 + 30 5.1x = -0.9 + 30 Combine like terms: -0.9 + 30 = 29.1 5.1x = 29.1 Divide each side by '5.1'. x = 5.705882353 Simplifying x = 5.705882353
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