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Simplifying 0.5(3X + 2) + -1 = 2(X + 3) Reorder the terms: 0.5(2 + 3X) + -1 = 2(X + 3) (2 * 0.5 + 3X * 0.5) + -1 = 2(X + 3) (1 + 1.5X) + -1 = 2(X + 3) Reorder the terms: 1 + -1 + 1.5X = 2(X + 3) Combine like terms: 1 + -1 = 0 0 + 1.5X = 2(X + 3) 1.5X = 2(X + 3) Reorder the terms: 1.5X = 2(3 + X) 1.5X = (3 * 2 + X * 2) 1.5X = (6 + 2X) Solving 1.5X = 6 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 1.5X + -2X = 6 + 2X + -2X Combine like terms: 1.5X + -2X = -0.5X -0.5X = 6 + 2X + -2X Combine like terms: 2X + -2X = 0 -0.5X = 6 + 0 -0.5X = 6 Divide each side by '-0.5'. X = -12 Simplifying X = -12
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