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Simplifying 2 + 0.1(8 + -1X) = 1.8X + -1(0.8X + -2.8) 2 + (8 * 0.1 + -1X * 0.1) = 1.8X + -1(0.8X + -2.8) 2 + (0.8 + -0.1X) = 1.8X + -1(0.8X + -2.8) Combine like terms: 2 + 0.8 = 2.8 2.8 + -0.1X = 1.8X + -1(0.8X + -2.8) Reorder the terms: 2.8 + -0.1X = 1.8X + -1(-2.8 + 0.8X) 2.8 + -0.1X = 1.8X + (-2.8 * -1 + 0.8X * -1) 2.8 + -0.1X = 1.8X + (2.8 + -0.8X) Reorder the terms: 2.8 + -0.1X = 2.8 + 1.8X + -0.8X Combine like terms: 1.8X + -0.8X = 1X 2.8 + -0.1X = 2.8 + 1X Add '-2.8' to each side of the equation. 2.8 + -2.8 + -0.1X = 2.8 + -2.8 + 1X Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -0.1X = 2.8 + -2.8 + 1X -0.1X = 2.8 + -2.8 + 1X Combine like terms: 2.8 + -2.8 = 0.0 -0.1X = 0.0 + 1X -0.1X = 1X Solving -0.1X = 1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -0.1X + -1X = 1X + -1X Combine like terms: -0.1X + -1X = -1.1X -1.1X = 1X + -1X Combine like terms: 1X + -1X = 0 -1.1X = 0 Divide each side by '-1.1'. X = 0 Simplifying X = 0
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