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Simplifying 3x + -16 + -6x + 2 = 27 + -3x + -2 + -3x Reorder the terms: -16 + 2 + 3x + -6x = 27 + -3x + -2 + -3x Combine like terms: -16 + 2 = -14 -14 + 3x + -6x = 27 + -3x + -2 + -3x Combine like terms: 3x + -6x = -3x -14 + -3x = 27 + -3x + -2 + -3x Reorder the terms: -14 + -3x = 27 + -2 + -3x + -3x Combine like terms: 27 + -2 = 25 -14 + -3x = 25 + -3x + -3x Combine like terms: -3x + -3x = -6x -14 + -3x = 25 + -6x Solving -14 + -3x = 25 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -14 + -3x + 6x = 25 + -6x + 6x Combine like terms: -3x + 6x = 3x -14 + 3x = 25 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 3x = 25 + 0 -14 + 3x = 25 Add '14' to each side of the equation. -14 + 14 + 3x = 25 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 25 + 14 3x = 25 + 14 Combine like terms: 25 + 14 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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