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Simplifying 2(3 + -1x) + -1(-2)(x + -3) = -1(3x + -2) (3 * 2 + -1x * 2) + -1(-2)(x + -3) = -1(3x + -2) (6 + -2x) + -1(-2)(x + -3) = -1(3x + -2) Reorder the terms: 6 + -2x + -1 * -2(-3 + x) = -1(3x + -2) Multiply -1 * -2 6 + -2x + 2(-3 + x) = -1(3x + -2) 6 + -2x + (-3 * 2 + x * 2) = -1(3x + -2) 6 + -2x + (-6 + 2x) = -1(3x + -2) Reorder the terms: 6 + -6 + -2x + 2x = -1(3x + -2) Combine like terms: 6 + -6 = 0 0 + -2x + 2x = -1(3x + -2) -2x + 2x = -1(3x + -2) Combine like terms: -2x + 2x = 0 0 = -1(3x + -2) Reorder the terms: 0 = -1(-2 + 3x) 0 = (-2 * -1 + 3x * -1) 0 = (2 + -3x) Solving 0 = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0 + 3x = 2 + -3x + 3x Remove the zero: 3x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 3x = 2 + 0 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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