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Simplifying -2(3x + -1) = -3(x + 2) Reorder the terms: -2(-1 + 3x) = -3(x + 2) (-1 * -2 + 3x * -2) = -3(x + 2) (2 + -6x) = -3(x + 2) Reorder the terms: 2 + -6x = -3(2 + x) 2 + -6x = (2 * -3 + x * -3) 2 + -6x = (-6 + -3x) Solving 2 + -6x = -6 + -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. 2 + -6x + 3x = -6 + -3x + 3x Combine like terms: -6x + 3x = -3x 2 + -3x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + -3x = -6 + 0 2 + -3x = -6 Add '-2' to each side of the equation. 2 + -2 + -3x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -6 + -2 -3x = -6 + -2 Combine like terms: -6 + -2 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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