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Simplifying 0.8x + -0.4(3 + -1x) = 4.2 0.8x + (3 * -0.4 + -1x * -0.4) = 4.2 0.8x + (-1.2 + 0.4x) = 4.2 Reorder the terms: -1.2 + 0.8x + 0.4x = 4.2 Combine like terms: 0.8x + 0.4x = 1.2x -1.2 + 1.2x = 4.2 Solving -1.2 + 1.2x = 4.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + 1.2x = 4.2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1.2x = 4.2 + 1.2 1.2x = 4.2 + 1.2 Combine like terms: 4.2 + 1.2 = 5.4 1.2x = 5.4 Divide each side by '1.2'. x = 4.5 Simplifying x = 4.5
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