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Simplifying 6(x + -1) = 3(x + 2) + 2 Reorder the terms: 6(-1 + x) = 3(x + 2) + 2 (-1 * 6 + x * 6) = 3(x + 2) + 2 (-6 + 6x) = 3(x + 2) + 2 Reorder the terms: -6 + 6x = 3(2 + x) + 2 -6 + 6x = (2 * 3 + x * 3) + 2 -6 + 6x = (6 + 3x) + 2 Reorder the terms: -6 + 6x = 6 + 2 + 3x Combine like terms: 6 + 2 = 8 -6 + 6x = 8 + 3x Solving -6 + 6x = 8 + 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 = 8 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = 8 + 0 -6 + 3x = 8 Add '6' to each side of the equation. -6 + 6 + 3x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 8 + 6 3x = 8 + 6 Combine like terms: 8 + 6 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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