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Simplifying 36 = 0.5(3X + -2) + -1(X + 6) Reorder the terms: 36 = 0.5(-2 + 3X) + -1(X + 6) 36 = (-2 * 0.5 + 3X * 0.5) + -1(X + 6) 36 = (-1 + 1.5X) + -1(X + 6) Reorder the terms: 36 = -1 + 1.5X + -1(6 + X) 36 = -1 + 1.5X + (6 * -1 + X * -1) 36 = -1 + 1.5X + (-6 + -1X) Reorder the terms: 36 = -1 + -6 + 1.5X + -1X Combine like terms: -1 + -6 = -7 36 = -7 + 1.5X + -1X Combine like terms: 1.5X + -1X = 0.5X 36 = -7 + 0.5X Solving 36 = -7 + 0.5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.5X' to each side of the equation. 36 + -0.5X = -7 + 0.5X + -0.5X Combine like terms: 0.5X + -0.5X = 0.0 36 + -0.5X = -7 + 0.0 36 + -0.5X = -7 Add '-36' to each side of the equation. 36 + -36 + -0.5X = -7 + -36 Combine like terms: 36 + -36 = 0 0 + -0.5X = -7 + -36 -0.5X = -7 + -36 Combine like terms: -7 + -36 = -43 -0.5X = -43 Divide each side by '-0.5'. X = 86 Simplifying X = 86
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