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Simplifying 0.5X + -0.3(40 + X) = 0.5(50) 0.5X + (40 * -0.3 + X * -0.3) = 0.5(50) 0.5X + (-12 + -0.3X) = 0.5(50) Reorder the terms: -12 + 0.5X + -0.3X = 0.5(50) Combine like terms: 0.5X + -0.3X = 0.2X -12 + 0.2X = 0.5(50) Multiply 0.5 * 50 -12 + 0.2X = 25 Solving -12 + 0.2X = 25 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 0.2X = 25 + 12 Combine like terms: -12 + 12 = 0 0 + 0.2X = 25 + 12 0.2X = 25 + 12 Combine like terms: 25 + 12 = 37 0.2X = 37 Divide each side by '0.2'. X = 185 Simplifying X = 185
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