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Simplifying 0.3x + -0.2(3 + -5X) = -0.5(x + -6) 0.3x + (3 * -0.2 + -5X * -0.2) = -0.5(x + -6) 0.3x + (-0.6 + 1X) = -0.5(x + -6) Reorder the terms: -0.6 + 1X + 0.3x = -0.5(x + -6) Reorder the terms: -0.6 + 1X + 0.3x = -0.5(-6 + x) -0.6 + 1X + 0.3x = (-6 * -0.5 + x * -0.5) -0.6 + 1X + 0.3x = (3 + -0.5x) Solving -0.6 + 1X + 0.3x = 3 + -0.5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 1X + 0.6 + 0.3x = 3 + 0.6 + -0.5x Reorder the terms: -0.6 + 0.6 + 1X + 0.3x = 3 + 0.6 + -0.5x Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 1X + 0.3x = 3 + 0.6 + -0.5x 1X + 0.3x = 3 + 0.6 + -0.5x Combine like terms: 3 + 0.6 = 3.6 1X + 0.3x = 3.6 + -0.5x Add '-0.3x' to each side of the equation. 1X + 0.3x + -0.3x = 3.6 + -0.5x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1X + 0.0 = 3.6 + -0.5x + -0.3x 1X = 3.6 + -0.5x + -0.3x Combine like terms: -0.5x + -0.3x = -0.8x 1X = 3.6 + -0.8x Divide each side by '1'. X = 3.6 + -0.8x Simplifying X = 3.6 + -0.8x
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