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Simplifying 0.5(6x + 12) = 1.3 + -1(X + 2) Reorder the terms: 0.5(12 + 6x) = 1.3 + -1(X + 2) (12 * 0.5 + 6x * 0.5) = 1.3 + -1(X + 2) (6 + 3x) = 1.3 + -1(X + 2) Reorder the terms: 6 + 3x = 1.3 + -1(2 + X) 6 + 3x = 1.3 + (2 * -1 + X * -1) 6 + 3x = 1.3 + (-2 + -1X) Combine like terms: 1.3 + -2 = -0.7 6 + 3x = -0.7 + -1X Solving 6 + 3x = -0.7 + -1X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = -0.7 + -6 + -1X Combine like terms: 6 + -6 = 0 0 + 3x = -0.7 + -6 + -1X 3x = -0.7 + -6 + -1X Combine like terms: -0.7 + -6 = -6.7 3x = -6.7 + -1X Divide each side by '3'. x = -2.233333333 + -0.3333333333X Simplifying x = -2.233333333 + -0.3333333333X
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