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Simplifying 0.1x + -0.7(2 + -1x) = 5.2 0.1x + (2 * -0.7 + -1x * -0.7) = 5.2 0.1x + (-1.4 + 0.7x) = 5.2 Reorder the terms: -1.4 + 0.1x + 0.7x = 5.2 Combine like terms: 0.1x + 0.7x = 0.8x -1.4 + 0.8x = 5.2 Solving -1.4 + 0.8x = 5.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.8x = 5.2 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.8x = 5.2 + 1.4 0.8x = 5.2 + 1.4 Combine like terms: 5.2 + 1.4 = 6.6 0.8x = 6.6 Divide each side by '0.8'. x = 8.25 Simplifying x = 8.25
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