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Simplifying 6(2x + -1) = x + -1(3x + 2) Reorder the terms: 6(-1 + 2x) = x + -1(3x + 2) (-1 * 6 + 2x * 6) = x + -1(3x + 2) (-6 + 12x) = x + -1(3x + 2) Reorder the terms: -6 + 12x = x + -1(2 + 3x) -6 + 12x = x + (2 * -1 + 3x * -1) -6 + 12x = x + (-2 + -3x) Reorder the terms: -6 + 12x = -2 + x + -3x Combine like terms: x + -3x = -2x -6 + 12x = -2 + -2x Solving -6 + 12x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 12x + 2x = -2 + -2x + 2x Combine like terms: 12x + 2x = 14x -6 + 14x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 14x = -2 + 0 -6 + 14x = -2 Add '6' to each side of the equation. -6 + 6 + 14x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = -2 + 6 14x = -2 + 6 Combine like terms: -2 + 6 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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