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Simplifying 6x + -6 = 3x + -27 + 32 Reorder the terms: -6 + 6x = 3x + -27 + 32 Reorder the terms: -6 + 6x = -27 + 32 + 3x Combine like terms: -27 + 32 = 5 -6 + 6x = 5 + 3x Solving -6 + 6x = 5 + 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 = 5 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = 5 + 0 -6 + 3x = 5 Add '6' to each side of the equation. -6 + 6 + 3x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 5 + 6 3x = 5 + 6 Combine like terms: 5 + 6 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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