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Simplifying 0.5x + -0.1(3 + -1x) = 2.4 0.5x + (3 * -0.1 + -1x * -0.1) = 2.4 0.5x + (-0.3 + 0.1x) = 2.4 Reorder the terms: -0.3 + 0.5x + 0.1x = 2.4 Combine like terms: 0.5x + 0.1x = 0.6x -0.3 + 0.6x = 2.4 Solving -0.3 + 0.6x = 2.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.6x = 2.4 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.6x = 2.4 + 0.3 0.6x = 2.4 + 0.3 Combine like terms: 2.4 + 0.3 = 2.7 0.6x = 2.7 Divide each side by '0.6'. x = 4.5 Simplifying x = 4.5
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