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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 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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