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Simplifying 6(x + -1) = 9x + 2 Reorder the terms: 6(-1 + x) = 9x + 2 (-1 * 6 + x * 6) = 9x + 2 (-6 + 6x) = 9x + 2 Reorder the terms: -6 + 6x = 2 + 9x Solving -6 + 6x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 6x + -9x = 2 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = 2 + 9x + -9x Combine like terms: 9x + -9x = 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 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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