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Simplifying 0.5(4X + -8) + 3x = 36 Reorder the terms: 0.5(-8 + 4X) + 3x = 36 (-8 * 0.5 + 4X * 0.5) + 3x = 36 (-4 + 2X) + 3x = 36 Solving -4 + 2X + 3x = 36 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2X + 4 + 3x = 36 + 4 Reorder the terms: -4 + 4 + 2X + 3x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 2X + 3x = 36 + 4 2X + 3x = 36 + 4 Combine like terms: 36 + 4 = 40 2X + 3x = 40 Add '-3x' to each side of the equation. 2X + 3x + -3x = 40 + -3x Combine like terms: 3x + -3x = 0 2X + 0 = 40 + -3x 2X = 40 + -3x Divide each side by '2'. X = 20 + -1.5x Simplifying X = 20 + -1.5x
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