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Simplifying 0.6(X + -3) = 0.4(2 + -1X) Reorder the terms: 0.6(-3 + X) = 0.4(2 + -1X) (-3 * 0.6 + X * 0.6) = 0.4(2 + -1X) (-1.8 + 0.6X) = 0.4(2 + -1X) -1.8 + 0.6X = (2 * 0.4 + -1X * 0.4) -1.8 + 0.6X = (0.8 + -0.4X) Solving -1.8 + 0.6X = 0.8 + -0.4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.4X' to each side of the equation. -1.8 + 0.6X + 0.4X = 0.8 + -0.4X + 0.4X Combine like terms: 0.6X + 0.4X = 1X -1.8 + 1X = 0.8 + -0.4X + 0.4X Combine like terms: -0.4X + 0.4X = 0.0 -1.8 + 1X = 0.8 + 0.0 -1.8 + 1X = 0.8 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1X = 0.8 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1X = 0.8 + 1.8 1X = 0.8 + 1.8 Combine like terms: 0.8 + 1.8 = 2.6 1X = 2.6 Divide each side by '1'. X = 2.6 Simplifying X = 2.6
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