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Simplifying 3(2X + 1) + 2(X + -3) = 0.5(X + -10) Reorder the terms: 3(1 + 2X) + 2(X + -3) = 0.5(X + -10) (1 * 3 + 2X * 3) + 2(X + -3) = 0.5(X + -10) (3 + 6X) + 2(X + -3) = 0.5(X + -10) Reorder the terms: 3 + 6X + 2(-3 + X) = 0.5(X + -10) 3 + 6X + (-3 * 2 + X * 2) = 0.5(X + -10) 3 + 6X + (-6 + 2X) = 0.5(X + -10) Reorder the terms: 3 + -6 + 6X + 2X = 0.5(X + -10) Combine like terms: 3 + -6 = -3 -3 + 6X + 2X = 0.5(X + -10) Combine like terms: 6X + 2X = 8X -3 + 8X = 0.5(X + -10) Reorder the terms: -3 + 8X = 0.5(-10 + X) -3 + 8X = (-10 * 0.5 + X * 0.5) -3 + 8X = (-5 + 0.5X) Solving -3 + 8X = -5 + 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. -3 + 8X + -0.5X = -5 + 0.5X + -0.5X Combine like terms: 8X + -0.5X = 7.5X -3 + 7.5X = -5 + 0.5X + -0.5X Combine like terms: 0.5X + -0.5X = 0.0 -3 + 7.5X = -5 + 0.0 -3 + 7.5X = -5 Add '3' to each side of the equation. -3 + 3 + 7.5X = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 7.5X = -5 + 3 7.5X = -5 + 3 Combine like terms: -5 + 3 = -2 7.5X = -2 Divide each side by '7.5'. X = -0.2666666667 Simplifying X = -0.2666666667
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