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Simplifying 0.5x + -0.3(50 + X) = 0.3(60) 0.5x + (50 * -0.3 + X * -0.3) = 0.3(60) 0.5x + (-15 + -0.3X) = 0.3(60) Reorder the terms: -15 + -0.3X + 0.5x = 0.3(60) Multiply 0.3 * 60 -15 + -0.3X + 0.5x = 18 Solving -15 + -0.3X + 0.5x = 18 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -0.3X + 15 + 0.5x = 18 + 15 Reorder the terms: -15 + 15 + -0.3X + 0.5x = 18 + 15 Combine like terms: -15 + 15 = 0 0 + -0.3X + 0.5x = 18 + 15 -0.3X + 0.5x = 18 + 15 Combine like terms: 18 + 15 = 33 -0.3X + 0.5x = 33 Add '-0.5x' to each side of the equation. -0.3X + 0.5x + -0.5x = 33 + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.3X + 0.0 = 33 + -0.5x -0.3X = 33 + -0.5x Divide each side by '-0.3'. X = -110 + 1.666666667x Simplifying X = -110 + 1.666666667x
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