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Simplifying 0.5x + -0.3(2 + -1x) = 4.2 0.5x + (2 * -0.3 + -1x * -0.3) = 4.2 0.5x + (-0.6 + 0.3x) = 4.2 Reorder the terms: -0.6 + 0.5x + 0.3x = 4.2 Combine like terms: 0.5x + 0.3x = 0.8x -0.6 + 0.8x = 4.2 Solving -0.6 + 0.8x = 4.2 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 + 0.8x = 4.2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.8x = 4.2 + 0.6 0.8x = 4.2 + 0.6 Combine like terms: 4.2 + 0.6 = 4.8 0.8x = 4.8 Divide each side by '0.8'. x = 6 Simplifying x = 6
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