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Simplifying 0.2(X + 3) + 1.2(X + -2) = 0 Reorder the terms: 0.2(3 + X) + 1.2(X + -2) = 0 (3 * 0.2 + X * 0.2) + 1.2(X + -2) = 0 (0.6 + 0.2X) + 1.2(X + -2) = 0 Reorder the terms: 0.6 + 0.2X + 1.2(-2 + X) = 0 0.6 + 0.2X + (-2 * 1.2 + X * 1.2) = 0 0.6 + 0.2X + (-2.4 + 1.2X) = 0 Reorder the terms: 0.6 + -2.4 + 0.2X + 1.2X = 0 Combine like terms: 0.6 + -2.4 = -1.8 -1.8 + 0.2X + 1.2X = 0 Combine like terms: 0.2X + 1.2X = 1.4X -1.8 + 1.4X = 0 Solving -1.8 + 1.4X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1.8' to each side of the equation. -1.8 + 1.8 + 1.4X = 0 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1.4X = 0 + 1.8 1.4X = 0 + 1.8 Combine like terms: 0 + 1.8 = 1.8 1.4X = 1.8 Divide each side by '1.4'. X = 1.285714286 Simplifying X = 1.285714286
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