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Simplifying 0.5x + 0.33x + -0.2(x + 3) = 0.1 Reorder the terms: 0.5x + 0.33x + -0.2(3 + x) = 0.1 0.5x + 0.33x + (3 * -0.2 + x * -0.2) = 0.1 0.5x + 0.33x + (-0.6 + -0.2x) = 0.1 Reorder the terms: -0.6 + 0.5x + 0.33x + -0.2x = 0.1 Combine like terms: 0.5x + 0.33x = 0.83x -0.6 + 0.83x + -0.2x = 0.1 Combine like terms: 0.83x + -0.2x = 0.63x -0.6 + 0.63x = 0.1 Solving -0.6 + 0.63x = 0.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.63x = 0.1 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.63x = 0.1 + 0.6 0.63x = 0.1 + 0.6 Combine like terms: 0.1 + 0.6 = 0.7 0.63x = 0.7 Divide each side by '0.63'. x = 1.111111111 Simplifying x = 1.111111111
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