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Simplifying 6x + 7x + -27 = -3x + 11 Reorder the terms: -27 + 6x + 7x = -3x + 11 Combine like terms: 6x + 7x = 13x -27 + 13x = -3x + 11 Reorder the terms: -27 + 13x = 11 + -3x Solving -27 + 13x = 11 + -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. -27 + 13x + 3x = 11 + -3x + 3x Combine like terms: 13x + 3x = 16x -27 + 16x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 16x = 11 + 0 -27 + 16x = 11 Add '27' to each side of the equation. -27 + 27 + 16x = 11 + 27 Combine like terms: -27 + 27 = 0 0 + 16x = 11 + 27 16x = 11 + 27 Combine like terms: 11 + 27 = 38 16x = 38 Divide each side by '16'. x = 2.375 Simplifying x = 2.375
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