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Simplifying 0.3(X + -0.7) = 1.9 + -0.2(0.4 + -1X) Reorder the terms: 0.3(-0.7 + X) = 1.9 + -0.2(0.4 + -1X) (-0.7 * 0.3 + X * 0.3) = 1.9 + -0.2(0.4 + -1X) (-0.21 + 0.3X) = 1.9 + -0.2(0.4 + -1X) -0.21 + 0.3X = 1.9 + (0.4 * -0.2 + -1X * -0.2) -0.21 + 0.3X = 1.9 + (-0.08 + 0.2X) Combine like terms: 1.9 + -0.08 = 1.82 -0.21 + 0.3X = 1.82 + 0.2X Solving -0.21 + 0.3X = 1.82 + 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. -0.21 + 0.3X + -0.2X = 1.82 + 0.2X + -0.2X Combine like terms: 0.3X + -0.2X = 0.1X -0.21 + 0.1X = 1.82 + 0.2X + -0.2X Combine like terms: 0.2X + -0.2X = 0.0 -0.21 + 0.1X = 1.82 + 0.0 -0.21 + 0.1X = 1.82 Add '0.21' to each side of the equation. -0.21 + 0.21 + 0.1X = 1.82 + 0.21 Combine like terms: -0.21 + 0.21 = 0.00 0.00 + 0.1X = 1.82 + 0.21 0.1X = 1.82 + 0.21 Combine like terms: 1.82 + 0.21 = 2.03 0.1X = 2.03 Divide each side by '0.1'. X = 20.3 Simplifying X = 20.3
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