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Simplifying 0.4x + -0.8(4 + -1x) = 4.6 0.4x + (4 * -0.8 + -1x * -0.8) = 4.6 0.4x + (-3.2 + 0.8x) = 4.6 Reorder the terms: -3.2 + 0.4x + 0.8x = 4.6 Combine like terms: 0.4x + 0.8x = 1.2x -3.2 + 1.2x = 4.6 Solving -3.2 + 1.2x = 4.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.2' to each side of the equation. -3.2 + 3.2 + 1.2x = 4.6 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 1.2x = 4.6 + 3.2 1.2x = 4.6 + 3.2 Combine like terms: 4.6 + 3.2 = 7.8 1.2x = 7.8 Divide each side by '1.2'. x = 6.5 Simplifying x = 6.5
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