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Simplifying 6(x + -1) = 3x + -2 Reorder the terms: 6(-1 + x) = 3x + -2 (-1 * 6 + x * 6) = 3x + -2 (-6 + 6x) = 3x + -2 Reorder the terms: -6 + 6x = -2 + 3x Solving -6 + 6x = -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. -6 + 6x + -3x = -2 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = -2 + 0 -6 + 3x = -2 Add '6' to each side of the equation. -6 + 6 + 3x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -2 + 6 3x = -2 + 6 Combine like terms: -2 + 6 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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