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Simplifying 2.4(8 + -1X) = -0.2(3 + -1X) (8 * 2.4 + -1X * 2.4) = -0.2(3 + -1X) (19.2 + -2.4X) = -0.2(3 + -1X) 19.2 + -2.4X = (3 * -0.2 + -1X * -0.2) 19.2 + -2.4X = (-0.6 + 0.2X) Solving 19.2 + -2.4X = -0.6 + 0.2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.2X' to each side of the equation. 19.2 + -2.4X + -0.2X = -0.6 + 0.2X + -0.2X Combine like terms: -2.4X + -0.2X = -2.6X 19.2 + -2.6X = -0.6 + 0.2X + -0.2X Combine like terms: 0.2X + -0.2X = 0.0 19.2 + -2.6X = -0.6 + 0.0 19.2 + -2.6X = -0.6 Add '-19.2' to each side of the equation. 19.2 + -19.2 + -2.6X = -0.6 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + -2.6X = -0.6 + -19.2 -2.6X = -0.6 + -19.2 Combine like terms: -0.6 + -19.2 = -19.8 -2.6X = -19.8 Divide each side by '-2.6'. X = 7.615384615 Simplifying X = 7.615384615
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